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107751040 = 275315431
BaseRepresentation
bin1100110110000…
…10011010000000
321111202022122021
412123002122000
5210041013130
614405251224
72445603655
oct633023200
9244668567
10107751040
1155905a51
1230103b14
1319428817
141044bc2c
1596d637a
hex66c2680

107751040 has 64 divisors (see below), whose sum is σ = 265950720. Its totient is φ = 41702400.

The previous prime is 107751031. The next prime is 107751079. The reversal of 107751040 is 40157701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1077510402 = 23220573242163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107750996 and 107751014.

It is a congruent number.

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, 17125 + ... + 22555.

It is an arithmetic number, because the mean of its divisors is an integer number (4155480).

Almost surely, 2107751040 is an apocalyptic number.

107751040 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 107751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132975360).

107751040 is an abundant number, since it is smaller than the sum of its proper divisors (158199680).

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

107751040 is an equidigital number, since it uses as much as digits as its factorization.

107751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5469 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 107751040 is about 10380.3198409298. The cubic root of 107751040 is about 475.8541087158.

The spelling of 107751040 in words is "one hundred seven million, seven hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 5431 9920 10862 19840 21724 27155 43448 54310 86896 108620 168361 173792 217240 336722 347584 434480 673444 695168 841805 868960 1346888 1683610 1737920 2693776 3367220 3475840 5387552 6734440 10775104 13468880 21550208 26937760 53875520 107751040