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157917940 = 2259781401
BaseRepresentation
bin10010110100110…
…10001011110100
3102000011001200121
421122122023310
5310411333230
623400421324
73625165105
oct1132321364
9360131617
10157917940
11811600a4
1244a77844
1326941b8b
1416d8a3ac
15dce577a
hex969a2f4

157917940 has 24 divisors (see below), whose sum is σ = 335050632. Its totient is φ = 62515200.

The previous prime is 157917883. The next prime is 157917941. The reversal of 157917940 is 49719751.

157917940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26173456 + 131744484 = 5116^2 + 11478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157917941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38761 + ... + 42640.

It is an arithmetic number, because the mean of its divisors is an integer number (13960443).

Almost surely, 2157917940 is an apocalyptic number.

157917940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157917940 is an abundant number, since it is smaller than the sum of its proper divisors (177132692).

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

157917940 is a wasteful number, since it uses less digits than its factorization.

157917940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81507 (or 81505 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 43.

The square root of 157917940 is about 12566.5404945036. The cubic root of 157917940 is about 540.5184093376.

The spelling of 157917940 in words is "one hundred fifty-seven million, nine hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 81401 162802 325604 407005 814010 1628020 7895897 15791794 31583588 39479485 78958970 157917940