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107013840 = 2435445891
BaseRepresentation
bin1100110000011…
…10011011010000
321110100212101120
412120032123100
5204343420330
614341402240
72436413463
oct630163320
9243325346
10107013840
115545209a
122ba09380
131922b0cb
14102d92da
1595dcc10
hex660e6d0

107013840 has 40 divisors (see below), whose sum is σ = 331743648. Its totient is φ = 28536960.

The previous prime is 107013817. The next prime is 107013853. The reversal of 107013840 is 48310701.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1070138402 = 22903923903091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 107013840.

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, 222706 + ... + 223185.

Almost surely, 2107013840 is an apocalyptic number.

107013840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107013840 is an abundant number, since it is smaller than the sum of its proper divisors (224729808).

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

107013840 is a wasteful number, since it uses less digits than its factorization.

107013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445907 (or 445901 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 107013840 is about 10344.7493928079. The cubic root of 107013840 is about 474.7664077668.

It can be divided in two parts, 10701 and 3840, that added together give a palindrome (14541).

The spelling of 107013840 in words is "one hundred seven million, thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 445891 891782 1337673 1783564 2229455 2675346 3567128 4458910 5350692 6688365 7134256 8917820 10701384 13376730 17835640 21402768 26753460 35671280 53506920 107013840