Search a number
-
+
1121429232 = 243371133713
BaseRepresentation
bin100001011010111…
…1010011011110000
32220011011111201000
41002311322123300
54244041213412
6303140042000
736534663660
oct10265723360
92804144630
101121429232
11526021420
12273693300
1314b4447c1
14a8d1a1a0
15686ba4dc
hex42d7a6f0

1121429232 has 160 divisors (see below), whose sum is σ = 4013314560. Its totient is φ = 291271680.

The previous prime is 1121429227. The next prime is 1121429251. The reversal of 1121429232 is 2329241211.

1121429232 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 429 + 232 = 666.

1121429232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1121429196 and 1121429205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16408 + ... + 50120.

It is an arithmetic number, because the mean of its divisors is an integer number (25083216).

Almost surely, 21121429232 is an apocalyptic number.

1121429232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121429232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006657280).

1121429232 is an abundant number, since it is smaller than the sum of its proper divisors (2891885328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121429232 is a wasteful number, since it uses less digits than its factorization.

1121429232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33748 (or 33736 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1121429232 is about 33487.7474906868. The cubic root of 1121429232 is about 1038.9403753822.

The spelling of 1121429232 in words is "one billion, one hundred twenty-one million, four hundred twenty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 33713 67426 101139 134852 202278 235991 269704 303417 370843 404556 471982 539408 606834 707973 741686 809112 910251 943964 1112529 1213668 1415946 1483372 1618224 1820502 1887928 2123919 2225058 2427336 2595901 2831892 2966744 3337587 3641004 3775856 4247838 4450116 4854672 5191802 5663784 5933488 6371757 6675174 7282008 7787703 8495676 8900232 10012761 10383604 11327568 12743514 13350348 14564016 15575406 16991352 17800464 20025522 20767208 23363109 25487028 26700696 31150812 33982704 40051044 41534416 46726218 50974056 53401392 62301624 70089327 80102088 93452436 101948112 124603248 140178654 160204176 186904872 280357308 373809744 560714616 1121429232