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107299984 = 24115311503
BaseRepresentation
bin1100110010101…
…00010010010000
321110220101220111
412121110102100
5204432044414
614351451104
72442014641
oct631242220
9243811814
10107299984
1155628080
122bb26a94
13192cb41c
14103716c8
1596478c4
hex6654490

107299984 has 40 divisors (see below), whose sum is σ = 231092352. Its totient is φ = 47848320.

The previous prime is 107299961. The next prime is 107300003. The reversal of 107299984 is 489992701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3577 + ... + 15079.

Almost surely, 2107299984 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 107299984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115546176).

107299984 is an abundant number, since it is smaller than the sum of its proper divisors (123792368).

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

107299984 is a wasteful number, since it uses less digits than its factorization.

107299984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The square root of 107299984 is about 10358.5705577555. The cubic root of 107299984 is about 475.1891900106.

The spelling of 107299984 in words is "one hundred seven million, two hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 2332 4664 9328 11503 23006 46012 92024 126533 184048 253066 506132 609659 1012264 1219318 2024528 2438636 4877272 6706249 9754544 13412498 26824996 53649992 107299984