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107677040 = 2456720089
BaseRepresentation
bin1100110101100…
…00010101110000
321111121120010112
412122300111300
5210031131130
614403520452
72445145142
oct632602560
9244546115
10107677040
1155865399
1230089128
1319400c33
141042cc92
1596be495
hex66b0570

107677040 has 40 divisors (see below), whose sum is σ = 254098320. Its totient is φ = 42425856.

The previous prime is 107677039. The next prime is 107677057. The reversal of 107677040 is 40776701.

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 = 107676988 and 107677006.

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, 4685 + ... + 15404.

It is an arithmetic number, because the mean of its divisors is an integer number (6352458).

Almost surely, 2107677040 is an apocalyptic number.

107677040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107677040 is an abundant number, since it is smaller than the sum of its proper divisors (146421280).

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

107677040 is a wasteful number, since it uses less digits than its factorization.

107677040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20169 (or 20163 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The square root of 107677040 is about 10376.7547913594. The cubic root of 107677040 is about 475.7451499276.

The spelling of 107677040 in words is "one hundred seven million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 20089 40178 80356 100445 160712 200890 321424 401780 803560 1345963 1607120 2691926 5383852 6729815 10767704 13459630 21535408 26919260 53838520 107677040