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157090752 = 263671337
BaseRepresentation
bin10010101110100…
…00001111000000
3101221121001000000
421113100033000
5310203401002
623331000000
73615151350
oct1127201700
9357531000
10157090752
1180745675
1244739000
1326712510
1416c12b60
15dbd061c
hex95d03c0

157090752 has 392 divisors, whose sum is σ = 590779616. Its totient is φ = 40310784.

The previous prime is 157090751. The next prime is 157090757. The reversal of 157090752 is 257090751.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157090751) 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 55 ways as a sum of consecutive naturals, for example, 4245678 + ... + 4245714.

Almost surely, 2157090752 is an apocalyptic number.

157090752 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 157090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295389808).

157090752 is an abundant number, since it is smaller than the sum of its proper divisors (433688864).

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

157090752 is an equidigital number, since it uses as much as digits as its factorization.

157090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 157090752 is about 12533.5849620131. The cubic root of 157090752 is about 539.5729957693.

Subtracting 157090752 from its reverse (257090751), we obtain a palindrome (99999999).

The spelling of 157090752 in words is "one hundred fifty-seven million, ninety thousand, seven hundred fifty-two".