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107493256 = 23132921229
BaseRepresentation
bin1100110100000…
…11011110001000
321111021020000201
412122003132020
5210004241011
614355541544
72443451263
oct632033610
9244236021
10107493256
115574a302
122bbba8b4
13193683a0
14103c1cda
159684cc1
hex6683788

107493256 has 48 divisors (see below), whose sum is σ = 224979300. Its totient is φ = 47862528.

The previous prime is 107493209. The next prime is 107493257. The reversal of 107493256 is 652394701.

107493256 = T23 + T24 + ... + T863.

It can be written as a sum of positive squares in 6 ways, for example, as 71132356 + 36360900 = 8434^2 + 6030^2 .

It is not an unprimeable number, because it can be changed into a prime (107493257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86850 + ... + 88078.

Almost surely, 2107493256 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 107493256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112489650).

107493256 is an abundant number, since it is smaller than the sum of its proper divisors (117486044).

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

107493256 is a wasteful number, since it uses less digits than its factorization.

107493256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 107493256 is about 10367.8954470037. The cubic root of 107493256 is about 475.4743272948.

The spelling of 107493256 in words is "one hundred seven million, four hundred ninety-three thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 841 1229 1508 1682 2458 3016 3364 4916 6728 9832 10933 15977 21866 31954 35641 43732 63908 71282 87464 127816 142564 285128 463333 926666 1033589 1853332 2067178 3706664 4134356 8268712 13436657 26873314 53746628 107493256