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107900064 = 2532374653
BaseRepresentation
bin1100110111001…
…10110010100000
321112000220001200
412123212302200
5210110300224
614412401200
72450064306
oct633466240
9245026050
10107900064
11559a7a08
1230176200
131947b5bc
141048a276
1597155c9
hex66e6ca0

107900064 has 36 divisors (see below), whose sum is σ = 306841626. Its totient is φ = 35966592.

The previous prime is 107900063. The next prime is 107900101. The reversal of 107900064 is 460009701.

It can be written as a sum of positive squares in only one way, i.e., 101848464 + 6051600 = 10092^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1079000642 = 23284847622408192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107900063) 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 5 ways as a sum of consecutive naturals, for example, 187039 + ... + 187614.

Almost surely, 2107900064 is an apocalyptic number.

It is an amenable number.

107900064 is an abundant number, since it is smaller than the sum of its proper divisors (198941562).

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

107900064 is a wasteful number, since it uses less digits than its factorization.

107900064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374669 (or 374658 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107900064 is about 10387.4955595658. The cubic root of 107900064 is about 476.0733827498.

Adding to 107900064 its reverse (460009701), we get a palindrome (567909765).

The spelling of 107900064 in words is "one hundred seven million, nine hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 374653 749306 1123959 1498612 2247918 2997224 3371877 4495836 5994448 6743754 8991672 11988896 13487508 17983344 26975016 35966688 53950032 107900064