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107452840 = 2351121492
BaseRepresentation
bin1100110011110…
…01100110101000
321111012011120211
412121321212220
5210001442330
614355030504
72443222405
oct631714650
9244164524
10107452840
1155721a00
122bb9b434
1319352b81
14103b12ac
159677d2a
hex66799a8

107452840 has 72 divisors (see below), whose sum is σ = 267541470. Its totient is φ = 38811520.

The previous prime is 107452831. The next prime is 107452853. The reversal of 107452840 is 48254701.

It can be written as a sum of positive squares in 3 ways, for example, as 41550916 + 65901924 = 6446^2 + 8118^2 .

It is a super-2 number, since 2×1074528402 = 23092225648131200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 721086 + ... + 721234.

Almost surely, 2107452840 is an apocalyptic number.

107452840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107452840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133770735).

107452840 is an abundant number, since it is smaller than the sum of its proper divisors (160088630).

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

107452840 is a wasteful number, since it uses less digits than its factorization.

107452840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 107452840 is about 10365.9461700319. The cubic root of 107452840 is about 475.4147292014.

The spelling of 107452840 in words is "one hundred seven million, four hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 149 220 242 298 440 484 596 605 745 968 1192 1210 1490 1639 2420 2980 3278 4840 5960 6556 8195 13112 16390 18029 22201 32780 36058 44402 65560 72116 88804 90145 111005 144232 177608 180290 222010 244211 360580 444020 488422 721160 888040 976844 1221055 1953688 2442110 2686321 4884220 5372642 9768440 10745284 13431605 21490568 26863210 53726420 107452840