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157912740 = 22345107911
BaseRepresentation
bin10010110100110…
…00111010100100
3102000010210120000
421122120322210
5310411201430
623400341300
73625143666
oct1132307244
9360123500
10157912740
11811571a7
1244a74830
132693c6bb
1416d88536
15dce3e60
hex9698ea4

157912740 has 120 divisors (see below), whose sum is σ = 500556672. Its totient is φ = 41670720.

The previous prime is 157912739. The next prime is 157912753. The reversal of 157912740 is 47219751.

It is a happy number.

157912740 is a `hidden beast` number, since 1 + 579 + 12 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 157912695 and 157912704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172885 + ... + 173795.

Almost surely, 2157912740 is an apocalyptic number.

157912740 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 157912740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250278336).

157912740 is an abundant number, since it is smaller than the sum of its proper divisors (342643932).

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

157912740 is a wasteful number, since it uses less digits than its factorization.

157912740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157912740 is about 12566.3335941714. Note that the first 3 decimals coincide. The cubic root of 157912740 is about 540.5124764533.

The spelling of 157912740 in words is "one hundred fifty-seven million, nine hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 270 321 324 405 428 535 540 642 810 911 963 1070 1284 1605 1620 1822 1926 2140 2733 2889 3210 3644 3852 4555 4815 5466 5778 6420 8199 8667 9110 9630 10932 11556 13665 14445 16398 17334 18220 19260 24597 27330 28890 32796 34668 40995 43335 49194 54660 57780 73791 81990 86670 97477 98388 122985 147582 163980 173340 194954 245970 292431 295164 368955 389908 487385 491940 584862 737910 877293 974770 1169724 1462155 1475820 1754586 1949540 2631879 2924310 3509172 4386465 5263758 5848620 7895637 8772930 10527516 13159395 15791274 17545860 26318790 31582548 39478185 52637580 78956370 157912740