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107410704 = 24337197307
BaseRepresentation
bin1100110011011…
…11010100010000
321111010000210020
412121233110100
5204444120304
614354103440
72442655512
oct631572420
9244100706
10107410704
11556a3285
122bb7ab80
131933993b
141039dbb2
15966a5d9
hex666f510

107410704 has 80 divisors (see below), whose sum is σ = 287356608. Its totient is φ = 34546176.

The previous prime is 107410703. The next prime is 107410763. The reversal of 107410704 is 407014701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (107410703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349719 + ... + 350025.

Almost surely, 2107410704 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 107410704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

107410704 is an abundant number, since it is smaller than the sum of its proper divisors (179945904).

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

107410704 is a wasteful number, since it uses less digits than its factorization.

107410704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 107410704 is about 10363.9135465325. The cubic root of 107410704 is about 475.3525788540.

The spelling of 107410704 in words is "one hundred seven million, four hundred ten thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 197 222 296 307 394 444 591 592 614 788 888 921 1182 1228 1576 1776 1842 2364 2456 3152 3684 4728 4912 7289 7368 9456 11359 14578 14736 21867 22718 29156 34077 43734 45436 58312 60479 68154 87468 90872 116624 120958 136308 174936 181437 181744 241916 272616 349872 362874 483832 545232 725748 967664 1451496 2237723 2902992 4475446 6713169 8950892 13426338 17901784 26852676 35803568 53705352 107410704