Search a number
-
+
157097088 = 2732315383
BaseRepresentation
bin10010101110100…
…01110010000000
3101221121100200200
421113101302000
5310204101323
623331045200
73615206001
oct1127216200
9357540620
10157097088
118074a405
1244740800
1326715375
1416c151a8
15dbd2443
hex95d1c80

157097088 has 192 divisors, whose sum is σ = 481178880. Its totient is φ = 49121280.

The previous prime is 157097047. The next prime is 157097093. The reversal of 157097088 is 880790751.

157097088 is a `hidden beast` number, since 1 + 570 + 9 + 70 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1892695 + ... + 1892777.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2157097088 is an apocalyptic number.

157097088 is a gapful number since it is divisible by the number (18) 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 157097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

157097088 is an abundant number, since it is smaller than the sum of its proper divisors (324081792).

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

157097088 is a wasteful number, since it uses less digits than its factorization.

157097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 157097088 is about 12533.8377203473. The cubic root of 157097088 is about 539.5802499382.

The spelling of 157097088 in words is "one hundred fifty-seven million, ninety-seven thousand, eighty-eight".