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157664240 = 2453495647
BaseRepresentation
bin10010110010111…
…00001111110000
3101222200011200022
421121130033300
5310330223430
623351143012
73623060336
oct1131341760
9358604608
10157664240
1180aa7528
1244974a68
1326883566
1416d21b56
15dc954e5
hex965c3f0

157664240 has 40 divisors (see below), whose sum is σ = 367684800. Its totient is φ = 62873856.

The previous prime is 157664231. The next prime is 157664279. The reversal of 157664240 is 42466751.

157664240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 157664240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25097 + ... + 30743.

It is an arithmetic number, because the mean of its divisors is an integer number (9192120).

Almost surely, 2157664240 is an apocalyptic number.

157664240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157664240 is an abundant number, since it is smaller than the sum of its proper divisors (210020560).

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

157664240 is a wasteful number, since it uses less digits than its factorization.

157664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 157664240 is about 12556.4421712522. The cubic root of 157664240 is about 540.2288010758.

The spelling of 157664240 in words is "one hundred fifty-seven million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 5584 5647 6980 11294 13960 22588 27920 28235 45176 56470 90352 112940 225880 451760 1970803 3941606 7883212 9854015 15766424 19708030 31532848 39416060 78832120 157664240