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1132740 = 2232572931
BaseRepresentation
bin100010100100011000100
32010112211100
410110203010
5242221430
640140100
712425310
oct4244304
92115740
101132740
11704054
12467630
1330877b
14216b40
15175960
hex1148c4

1132740 has 144 divisors (see below), whose sum is σ = 4193280. Its totient is φ = 241920.

The previous prime is 1132739. The next prime is 1132753. The reversal of 1132740 is 472311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36525 + ... + 36555.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

21132740 is an apocalyptic number.

1132740 is a gapful number since it is divisible by the number (10) 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 1132740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096640).

1132740 is an abundant number, since it is smaller than the sum of its proper divisors (3060540).

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

1132740 is a wasteful number, since it uses less digits than its factorization.

1132740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1132740 is about 1064.3025885527. The cubic root of 1132740 is about 104.2421625148.

The spelling of 1132740 in words is "one million, one hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 31 35 36 42 45 58 60 62 63 70 84 87 90 93 105 116 124 126 140 145 155 174 180 186 203 210 217 252 261 279 290 310 315 348 372 406 420 434 435 465 522 558 580 609 620 630 651 812 868 870 899 930 1015 1044 1085 1116 1218 1260 1302 1305 1395 1740 1798 1827 1860 1953 2030 2170 2436 2604 2610 2697 2790 3045 3255 3596 3654 3906 4060 4340 4495 5220 5394 5580 6090 6293 6510 7308 7812 8091 8990 9135 9765 10788 12180 12586 13020 13485 16182 17980 18270 18879 19530 25172 26970 31465 32364 36540 37758 39060 40455 53940 56637 62930 75516 80910 94395 113274 125860 161820 188790 226548 283185 377580 566370 1132740