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107432856 = 233231127379
BaseRepresentation
bin1100110011101…
…00101110011000
321111011011011200
412121310232120
5210000322411
614354354200
72443110216
oct631645630
9244134150
10107432856
1155708993
122bb8b960
1319346a4b
14103a7cb6
159671e56
hex6674b98

107432856 has 96 divisors (see below), whose sum is σ = 303513600. Its totient is φ = 34292160.

The previous prime is 107432851. The next prime is 107432861. The reversal of 107432856 is 658234701.

It is an interprime number because it is at equal distance from previous prime (107432851) and next prime (107432861).

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

It is a self number, because there is not a number n which added to its sum of digits gives 107432856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107432851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283275 + ... + 283653.

It is an arithmetic number, because the mean of its divisors is an integer number (3161600).

Almost surely, 2107432856 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 107432856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151756800).

107432856 is an abundant number, since it is smaller than the sum of its proper divisors (196080744).

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

107432856 is a wasteful number, since it uses less digits than its factorization.

107432856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 107432856 is about 10364.9821996953. The cubic root of 107432856 is about 475.3852549472.

It can be divided in two parts, 1074 and 32856, that added together give a triangular number (33930 = T260).

The spelling of 107432856 in words is "one hundred seven million, four hundred thirty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 127 186 248 254 279 372 379 381 508 558 744 758 762 1016 1116 1137 1143 1516 1524 2232 2274 2286 3032 3048 3411 3937 4548 4572 6822 7874 9096 9144 11749 11811 13644 15748 23498 23622 27288 31496 35247 35433 46996 47244 48133 70494 70866 93992 94488 96266 105741 140988 141732 144399 192532 211482 281976 283464 288798 385064 422964 433197 577596 845928 866394 1155192 1492123 1732788 2984246 3465576 4476369 5968492 8952738 11936984 13429107 17905476 26858214 35810952 53716428 107432856