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107861040 = 24325721401
BaseRepresentation
bin1100110110111…
…01010000110000
321111221220112100
412123131100300
5210103023130
614411500400
72446542450
oct633352060
9244856470
10107861040
1155980661
1230157700
1319466901
1410479d60
159708c60
hex66dd430

107861040 has 120 divisors (see below), whose sum is σ = 414000288. Its totient is φ = 24652800.

The previous prime is 107861023. The next prime is 107861051. The reversal of 107861040 is 40168701.

It is a happy number.

107861040 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 107860995 and 107861013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5661 + ... + 15740.

Almost surely, 2107861040 is an apocalyptic number.

107861040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107861040 is an abundant number, since it is smaller than the sum of its proper divisors (306139248).

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

107861040 is a wasteful number, since it uses less digits than its factorization.

107861040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21427 (or 21418 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107861040 is about 10385.6169773394. The cubic root of 107861040 is about 476.0159823271.

The spelling of 107861040 in words is "one hundred seven million, eight hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 21401 42802 64203 85604 107005 128406 149807 171208 192609 214010 256812 299614 321015 342416 385218 428020 449421 513624 599228 642030 749035 770436 856040 898842 963045 1027248 1198456 1284060 1348263 1498070 1540872 1712080 1797684 1926090 2247105 2396912 2568120 2696526 2996140 3081744 3595368 3852180 4494210 5136240 5393052 5992280 6741315 7190736 7704360 8988420 10786104 11984560 13482630 15408720 17976840 21572208 26965260 35953680 53930520 107861040