Search a number
-
+
1121454432 = 253271673331
BaseRepresentation
bin100001011011000…
…0000100101100000
32220011012210021100
41002312000211200
54244043020212
6303140354400
736535130310
oct10266004540
92804183240
101121454432
1152603934a
122736a5a00
1314b453107
14a8d25440
15686c2bdc
hex42d80960

1121454432 has 144 divisors (see below), whose sum is σ = 3667652352. Its totient is φ = 318401280.

The previous prime is 1121454413. The next prime is 1121454479. The reversal of 1121454432 is 2344541211.

1121454432 is a `hidden beast` number, since 1 + 1 + 214 + 5 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1121454396 and 1121454405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335007 + ... + 338337.

It is an arithmetic number, because the mean of its divisors is an integer number (25469808).

Almost surely, 21121454432 is an apocalyptic number.

1121454432 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 1121454432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833826176).

1121454432 is an abundant number, since it is smaller than the sum of its proper divisors (2546197920).

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

1121454432 is a wasteful number, since it uses less digits than its factorization.

1121454432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3510 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 1121454432 is about 33488.1237455908. The cubic root of 1121454432 is about 1038.9481574460.

Adding to 1121454432 its reverse (2344541211), we get a palindrome (3465995643).

The spelling of 1121454432 in words is "one billion, one hundred twenty-one million, four hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 167 168 224 252 288 334 336 501 504 668 672 1002 1008 1169 1336 1503 2004 2016 2338 2672 3006 3331 3507 4008 4676 5344 6012 6662 7014 8016 9352 9993 10521 12024 13324 14028 16032 18704 19986 21042 23317 24048 26648 28056 29979 37408 39972 42084 46634 48096 53296 56112 59958 69951 79944 84168 93268 106592 112224 119916 139902 159888 168336 186536 209853 239832 279804 319776 336672 373072 419706 479664 556277 559608 746144 839412 959328 1112554 1119216 1668831 1678824 2225108 2238432 3337662 3357648 3893939 4450216 5006493 6675324 6715296 7787878 8900432 10012986 11681817 13350648 15575756 17800864 20025972 23363634 26701296 31151512 35045451 40051944 46727268 53402592 62303024 70090902 80103888 93454536 124606048 140181804 160207776 186909072 280363608 373818144 560727216 1121454432