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137035416 = 2337815687
BaseRepresentation
bin10000010101011…
…11111010011000
3100112212010020210
420022233322120
5240040113131
621333051120
73252532110
oct1012577230
9315763223
10137035416
1170397811
1239a86aa0
132250cb5b
14142b2040
15c06d146
hex82afe98

137035416 has 32 divisors (see below), whose sum is σ = 391530240. Its totient is φ = 39152928.

The previous prime is 137035397. The next prime is 137035421. The reversal of 137035416 is 614530731.

137035416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 407676 + ... + 408011.

It is an arithmetic number, because the mean of its divisors is an integer number (12235320).

Almost surely, 2137035416 is an apocalyptic number.

It is an amenable number.

137035416 is an abundant number, since it is smaller than the sum of its proper divisors (254494824).

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

137035416 is a wasteful number, since it uses less digits than its factorization.

137035416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815703 (or 815699 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 137035416 is about 11706.2127094975. The cubic root of 137035416 is about 515.5580916966.

The spelling of 137035416 in words is "one hundred thirty-seven million, thirty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 815687 1631374 2447061 3262748 4894122 5709809 6525496 9788244 11419618 17129427 19576488 22839236 34258854 45678472 68517708 137035416