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107436532 = 227172943181
BaseRepresentation
bin1100110011101…
…01100111110100
321111011100012211
412121311213310
5210000432112
614354423204
72443124020
oct631654764
9244140184
10107436532
1155710725
122bb91b04
1319348618
14103a9380
1596730a7
hex66759f4

107436532 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 40642560.

The previous prime is 107436491. The next prime is 107436541. The reversal of 107436532 is 235634701.

It is a junction number, because it is equal to n+sod(n) for n = 107436494 and 107436503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593482 + ... + 593662.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2107436532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107436532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

107436532 is an abundant number, since it is smaller than the sum of its proper divisors (134725388).

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

107436532 is a wasteful number, since it uses less digits than its factorization.

107436532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 107436532 is about 10365.1595260276. The cubic root of 107436532 is about 475.3906769268.

The spelling of 107436532 in words is "one hundred seven million, four hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 29 34 43 58 68 86 116 119 172 181 203 238 301 362 406 476 493 602 724 731 812 986 1204 1247 1267 1462 1972 2494 2534 2924 3077 3451 4988 5068 5117 5249 6154 6902 7783 8729 10234 10498 12308 13804 15566 17458 20468 20996 21199 21539 31132 34916 36743 42398 43078 54481 73486 84796 86156 89233 108962 132311 146972 148393 178466 217924 225707 264622 296786 356932 451414 529244 593572 624631 902828 926177 1249262 1579949 1852354 2498524 3159898 3704708 3837019 6319796 7674038 15348076 26859133 53718266 107436532