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107015700 = 223521132429
BaseRepresentation
bin1100110000011…
…10111000010100
321110100221221110
412120032320110
5204344000300
614341415020
72436422061
oct630167024
9243327843
10107015700
1155453530
122ba0a470
131922bbcc
14102d9c68
1595dd550
hex660ee14

107015700 has 72 divisors (see below), whose sum is σ = 337790880. Its totient is φ = 25942400.

The previous prime is 107015681. The next prime is 107015743. The reversal of 107015700 is 7510701.

It is a super-2 number, since 2×1070157002 = 22904720092980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12915 + ... + 19514.

It is an arithmetic number, because the mean of its divisors is an integer number (4691540).

Almost surely, 2107015700 is an apocalyptic number.

107015700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107015700 is an abundant number, since it is smaller than the sum of its proper divisors (230775180).

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

107015700 is a wasteful number, since it uses less digits than its factorization.

107015700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32457 (or 32450 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 107015700 is about 10344.8392930968. The cubic root of 107015700 is about 474.7691583780.

The spelling of 107015700 in words is "one hundred seven million, fifteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 32429 64858 97287 129716 162145 194574 324290 356719 389148 486435 648580 713438 810725 972870 1070157 1426876 1621450 1783595 1945740 2140314 2432175 3242900 3567190 4280628 4864350 5350785 7134380 8917975 9728700 10701570 17835950 21403140 26753925 35671900 53507850 107015700