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107397612 = 223272107569
BaseRepresentation
bin1100110011011…
…00000111101100
321111002100211100
412121230013230
5204443210422
614353523100
72442602400
oct631540754
9244070740
10107397612
1155694463
122bb73490
13193339aa
1410399100
1596667ac
hex666c1ec

107397612 has 108 divisors (see below), whose sum is σ = 319311720. Its totient is φ = 30344832.

The previous prime is 107397611. The next prime is 107397613. The reversal of 107397612 is 216793701.

It is a happy number.

107397612 is a `hidden beast` number, since 1 + 0 + 7 + 39 + 7 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (107397611) and next prime (107397613).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107397611) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188464 + ... + 189032.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2107397612 is an apocalyptic number.

107397612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107397612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159655860).

107397612 is an abundant number, since it is smaller than the sum of its proper divisors (211914108).

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

107397612 is a wasteful number, since it uses less digits than its factorization.

107397612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 107397612 is about 10363.2819125989. The cubic root of 107397612 is about 475.3332649228. Note that the first 3 decimals are identical.

The spelling of 107397612 in words is "one hundred seven million, three hundred ninety-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 107 126 147 196 214 252 294 321 428 441 569 588 642 749 882 963 1138 1284 1498 1707 1764 1926 2247 2276 2996 3414 3852 3983 4494 5121 5243 6741 6828 7966 8988 10242 10486 11949 13482 15729 15932 20484 20972 23898 26964 27881 31458 35847 47187 47796 55762 60883 62916 71694 83643 94374 111524 121766 143388 167286 182649 188748 243532 250929 334572 365298 426181 501858 547947 730596 852362 1003716 1095894 1278543 1704724 2191788 2557086 2983267 3835629 5114172 5966534 7671258 8949801 11933068 15342516 17899602 26849403 35799204 53698806 107397612