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107405452 = 227211311607
BaseRepresentation
bin1100110011011…
…10000010001100
321111002202120201
412121232002030
5204443433302
614354023244
72442634300
oct631560214
9244082521
10107405452
115569a340
122bb77b24
131933742b
141039bd00
159668c87
hex666e08c

107405452 has 72 divisors (see below), whose sum is σ = 246371328. Its totient is φ = 40471200.

The previous prime is 107405449. The next prime is 107405491. The reversal of 107405452 is 254504701.

It is a super-2 number, since 2×1074054522 = 23071862238648608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 107405452.

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, 66033 + ... + 67639.

It is an arithmetic number, because the mean of its divisors is an integer number (3421824).

Almost surely, 2107405452 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 107405452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123185664).

107405452 is an abundant number, since it is smaller than the sum of its proper divisors (138965876).

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

107405452 is a wasteful number, since it uses less digits than its factorization.

107405452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 107405452 is about 10363.6601642470. The cubic root of 107405452 is about 475.3448310463.

The spelling of 107405452 in words is "one hundred seven million, four hundred five thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 154 196 217 308 341 434 539 682 868 1078 1364 1519 1607 2156 2387 3038 3214 4774 6076 6428 9548 11249 16709 17677 22498 33418 35354 44996 49817 66836 70708 78743 99634 123739 157486 199268 247478 314972 348719 494956 547987 697438 866173 1095974 1394876 1732346 2191948 2441033 3464692 3835909 4882066 7671818 9764132 15343636 26851363 53702726 107405452