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107764224 = 293174127
BaseRepresentation
bin1100110110001…
…01101000000000
321111202222201120
412123011220000
5210041423344
614405432240
72445660261
oct633055000
9244688646
10107764224
1155914947
123010b680
1319431819
1410452968
1596da219
hex66c5a00

107764224 has 80 divisors (see below), whose sum is σ = 304051968. Its totient is φ = 33800192.

The previous prime is 107764213. The next prime is 107764231. The reversal of 107764224 is 422467701.

It is a super-2 number, since 2×1077642242 = 23226255948644352, which contains 22 as substring.

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, 24049 + ... + 28175.

Almost surely, 2107764224 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 107764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152025984).

107764224 is an abundant number, since it is smaller than the sum of its proper divisors (196287744).

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

107764224 is an equidigital number, since it uses as much as digits as its factorization.

107764224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 107764224 is about 10380.9548693750. The cubic root of 107764224 is about 475.8735158130.

The spelling of 107764224 in words is "one hundred seven million, seven hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4127 4352 6528 8254 8704 12381 13056 16508 24762 26112 33016 49524 66032 70159 99048 132064 140318 198096 210477 264128 280636 396192 420954 528256 561272 792384 841908 1056512 1122544 1584768 1683816 2113024 2245088 3169536 3367632 4490176 6339072 6735264 8980352 13470528 17960704 26941056 35921408 53882112 107764224