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107074752 = 2632324247
BaseRepresentation
bin1100110000111…
…01010011000000
321110110221221120
412120131103000
5204402343002
614342552240
72440056201
oct630352300
9243427846
10107074752
1155493934
122ba38680
131924ca55
14103135a8
159600cbc
hex661d4c0

107074752 has 56 divisors (see below), whose sum is σ = 295631616. Its totient is φ = 34138368.

The previous prime is 107074727. The next prime is 107074753. The reversal of 107074752 is 257470701.

It is a happy number.

It is a super-2 number, since 2×1070747522 = 22930005031723008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107074753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7708 + ... + 16539.

It is an arithmetic number, because the mean of its divisors is an integer number (5279136).

Almost surely, 2107074752 is an apocalyptic number.

107074752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107074752 is an abundant number, since it is smaller than the sum of its proper divisors (188556864).

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

107074752 is a wasteful number, since it uses less digits than its factorization.

107074752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24285 (or 24275 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 107074752 is about 10347.6930762368. The cubic root of 107074752 is about 474.8564692837.

The spelling of 107074752 in words is "one hundred seven million, seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 24247 48494 72741 96988 145482 193976 290964 387952 557681 581928 775904 1115362 1163856 1551808 1673043 2230724 2327712 3346086 4461448 4655424 6692172 8922896 13384344 17845792 26768688 35691584 53537376 107074752