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107464456 = 23112195843
BaseRepresentation
bin1100110011111…
…00011100001000
321111012202112001
412121330130020
5210002330311
614355200344
72443301311
oct631743410
9244182461
10107464456
115572a700
122bba60b4
1319358248
14103b5608
15967b4c1
hex667c708

107464456 has 48 divisors (see below), whose sum is σ = 233175600. Its totient is φ = 46268640.

The previous prime is 107464453. The next prime is 107464501. The reversal of 107464456 is 654464701.

It is not an unprimeable number, because it can be changed into a prime (107464451) 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 11 ways as a sum of consecutive naturals, for example, 15471 + ... + 21313.

It is an arithmetic number, because the mean of its divisors is an integer number (4857825).

Almost surely, 2107464456 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 107464456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116587800).

107464456 is an abundant number, since it is smaller than the sum of its proper divisors (125711144).

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

107464456 is a wasteful number, since it uses less digits than its factorization.

107464456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 107464456 is about 10366.5064510663. The cubic root of 107464456 is about 475.4318598748.

The spelling of 107464456 in words is "one hundred seven million, four hundred sixty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 4598 5843 9196 11686 18392 23372 46744 64273 111017 128546 222034 257092 444068 514184 707003 888136 1221187 1414006 2442374 2828012 4884748 5656024 9769496 13433057 26866114 53732228 107464456