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107665040 = 2457192259
BaseRepresentation
bin1100110101011…
…01011010010000
321111120221200002
412122231122100
5210030240130
614403345132
72445065150
oct632553220
9244527602
10107665040
115585737a
12300821a8
13193c8632
1410428760
1596bab45
hex66ad690

107665040 has 40 divisors (see below), whose sum is σ = 286082880. Its totient is φ = 36913536.

The previous prime is 107665013. The next prime is 107665043. The reversal of 107665040 is 40566701.

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

It is a junction number, because it is equal to n+sod(n) for n = 107664994 and 107665012.

It is not an unprimeable number, because it can be changed into a prime (107665043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 95570 + ... + 96689.

It is an arithmetic number, because the mean of its divisors is an integer number (7152072).

Almost surely, 2107665040 is an apocalyptic number.

107665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107665040 is an abundant number, since it is smaller than the sum of its proper divisors (178417840).

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

107665040 is a wasteful number, since it uses less digits than its factorization.

107665040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192279 (or 192273 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 107665040 is about 10376.1765597931. The cubic root of 107665040 is about 475.7274762314.

The spelling of 107665040 in words is "one hundred seven million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 192259 384518 769036 961295 1345813 1538072 1922590 2691626 3076144 3845180 5383252 6729065 7690360 10766504 13458130 15380720 21533008 26916260 53832520 107665040