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137869416 = 23321914853
BaseRepresentation
bin10000011011110…
…11100001101000
3100121102111021200
420031323201220
5240243310131
621403004200
73262604436
oct1015734150
9317374250
10137869416
1170907373
123a209660
1322742649
141444bd56
15c1852e6
hex837b868

137869416 has 24 divisors (see below), whose sum is σ = 373396530. Its totient is φ = 45956448.

The previous prime is 137869411. The next prime is 137869423. The reversal of 137869416 is 614968731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 102941316 + 34928100 = 10146^2 + 5910^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (137869411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 957355 + ... + 957498.

Almost surely, 2137869416 is an apocalyptic number.

It is an amenable number.

137869416 is an abundant number, since it is smaller than the sum of its proper divisors (235527114).

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

137869416 is a wasteful number, since it uses less digits than its factorization.

137869416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914865 (or 1914858 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 137869416 is about 11741.7807848725. The cubic root of 137869416 is about 516.6018756539.

The spelling of 137869416 in words is "one hundred thirty-seven million, eight hundred sixty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1914853 3829706 5744559 7659412 11489118 15318824 17233677 22978236 34467354 45956472 68934708 137869416