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107426412 = 2235791399
BaseRepresentation
bin1100110011100…
…11001001101100
321111010211100000
412121303021230
5210000121122
614354304300
72443052352
oct631631154
9244124300
10107426412
1155704065
122bb88090
1319343b32
14103a57d2
1596700ac
hex667326c

107426412 has 72 divisors (see below), whose sum is σ = 285376000. Its totient is φ = 35330256.

The previous prime is 107426401. The next prime is 107426453. The reversal of 107426412 is 214624701.

107426412 is a `hidden beast` number, since 10 + 7 + 4 + 2 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76089 + ... + 77487.

Almost surely, 2107426412 is an apocalyptic number.

107426412 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 107426412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142688000).

107426412 is an abundant number, since it is smaller than the sum of its proper divisors (177949588).

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

107426412 is a wasteful number, since it uses less digits than its factorization.

107426412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 107426412 is about 10364.6713406649. The cubic root of 107426412 is about 475.3757499597.

The spelling of 107426412 in words is "one hundred seven million, four hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 711 948 972 1399 1422 2133 2798 2844 4197 4266 5596 6399 8394 8532 12591 12798 16788 19197 25182 25596 37773 38394 50364 75546 76788 110521 113319 151092 221042 226638 331563 339957 442084 453276 663126 679914 994689 1326252 1359828 1989378 2984067 3978756 5968134 8952201 11936268 17904402 26856603 35808804 53713206 107426412