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107036397 = 3513311093
BaseRepresentation
bin1100110000100…
…11111011101101
321110102000100000
412120103323231
5204400131042
614342054513
72436536316
oct630237355
9243360300
10107036397
1155468036
122ba1a439
1319238460
141030360d
1595e474c
hex6613eed

107036397 has 48 divisors (see below), whose sum is σ = 178400768. Its totient is φ = 63685440.

The previous prime is 107036393. The next prime is 107036429. The reversal of 107036397 is 793630701.

107036397 is a `hidden beast` number, since 10 + 7 + 0 + 3 + 639 + 7 = 666.

It is not a de Polignac number, because 107036397 - 22 = 107036393 is a prime.

It is a super-2 number, since 2×1070363972 = 22913580565483218, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107036393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97383 + ... + 98475.

Almost surely, 2107036397 is an apocalyptic number.

It is an amenable number.

107036397 is a deficient number, since it is larger than the sum of its proper divisors (71364371).

107036397 is a wasteful number, since it uses less digits than its factorization.

107036397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 107036397 is about 10345.8395986019. The cubic root of 107036397 is about 474.7997634321.

The spelling of 107036397 in words is "one hundred seven million, thirty-six thousand, three hundred ninety-seven".

Divisors: 1 3 9 13 27 31 39 81 93 117 243 279 351 403 837 1053 1093 1209 2511 3159 3279 3627 7533 9837 10881 14209 29511 32643 33883 42627 88533 97929 101649 127881 265599 304947 383643 440479 914841 1150929 1321437 2744523 3452787 3964311 8233569 11892933 35678799 107036397