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107226432 = 2632186157
BaseRepresentation
bin1100110010000…
…10010101000000
321110202200000100
412121002111000
5204422221212
614350122400
72441260335
oct631022500
9243680010
10107226432
1155587895
122bab0400
13192a3ac1
141035298c
159630bdc
hex6642540

107226432 has 42 divisors (see below), whose sum is σ = 307346858. Its totient is φ = 35741952.

The previous prime is 107226421. The next prime is 107226451. The reversal of 107226432 is 234622701.

107226432 is a `hidden beast` number, since 1 + 0 + 7 + 226 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106007616 + 1218816 = 10296^2 + 1104^2 .

It is a super-2 number, since 2×1072264322 = 22995015438901248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107226396 and 107226405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92503 + ... + 93654.

Almost surely, 2107226432 is an apocalyptic number.

107226432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107226432 is an abundant number, since it is smaller than the sum of its proper divisors (200120426).

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

107226432 is a wasteful number, since it uses less digits than its factorization.

107226432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186175 (or 186162 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 107226432 is about 10355.0196523232. The cubic root of 107226432 is about 475.0805876196.

The spelling of 107226432 in words is "one hundred seven million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 186157 372314 558471 744628 1116942 1489256 1675413 2233884 2978512 3350826 4467768 5957024 6701652 8935536 11914048 13403304 17871072 26806608 35742144 53613216 107226432