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157156120 = 235112511423
BaseRepresentation
bin10010101111000…
…00001100011000
3101221201100200001
421113200030120
5310212443440
623332222344
73615543052
oct1127401430
9357640601
10157156120
118078a7a0
124476a9b4
13267361b4
1416c2c8d2
15dbe4b9a
hex95e0318

157156120 has 64 divisors (see below), whose sum is σ = 387555840. Its totient is φ = 56880000.

The previous prime is 157156073. The next prime is 157156121. The reversal of 157156120 is 21651751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157156121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109729 + ... + 111151.

It is an arithmetic number, because the mean of its divisors is an integer number (6055560).

Almost surely, 2157156120 is an apocalyptic number.

157156120 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 157156120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193777920).

157156120 is an abundant number, since it is smaller than the sum of its proper divisors (230399720).

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

157156120 is a wasteful number, since it uses less digits than its factorization.

157156120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 157156120 is about 12536.1924043946. The cubic root of 157156120 is about 539.6478270712.

The spelling of 157156120 in words is "one hundred fifty-seven million, one hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 251 440 502 1004 1255 1423 2008 2510 2761 2846 5020 5522 5692 7115 10040 11044 11384 13805 14230 15653 22088 27610 28460 31306 55220 56920 62612 78265 110440 125224 156530 313060 357173 626120 714346 1428692 1785865 2857384 3571730 3928903 7143460 7857806 14286920 15715612 19644515 31431224 39289030 78578060 157156120