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107714016 = 2533124669
BaseRepresentation
bin1100110101110…
…01010111100000
321111200102212000
412122321113200
5210033322031
614404404000
72445361014
oct632712740
9244612760
10107714016
1155890153
12300a6600
1319414a07
141043c544
1596ca3e6
hex66b95e0

107714016 has 48 divisors (see below), whose sum is σ = 314168400. Its totient is φ = 35904384.

The previous prime is 107714003. The next prime is 107714039. The reversal of 107714016 is 610417701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 61471 + ... + 63198.

It is an arithmetic number, because the mean of its divisors is an integer number (6545175).

Almost surely, 2107714016 is an apocalyptic number.

107714016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107714016 is an abundant number, since it is smaller than the sum of its proper divisors (206454384).

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

107714016 is a wasteful number, since it uses less digits than its factorization.

107714016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124688 (or 124674 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 107714016 is about 10378.5363129875. The cubic root of 107714016 is about 475.7996002217.

The spelling of 107714016 in words is "one hundred seven million, seven hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 124669 249338 374007 498676 748014 997352 1122021 1496028 1994704 2244042 2992056 3366063 3989408 4488084 5984112 6732126 8976168 11968224 13464252 17952336 26928504 35904672 53857008 107714016