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107278020 = 2234566221
BaseRepresentation
bin1100110010011…
…10111011000100
321110212021210000
412121032323010
5204430344040
614351201300
72441563623
oct631167304
9243767700
10107278020
1155612623
122bb16230
13192c1425
14103676ba
159641130
hex664eec4

107278020 has 60 divisors (see below), whose sum is σ = 336540204. Its totient is φ = 28607040.

The previous prime is 107278001. The next prime is 107278021. The reversal of 107278020 is 20872701.

It can be written as a sum of positive squares in 2 ways, for example, as 62441604 + 44836416 = 7902^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107278021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31491 + ... + 34730.

Almost surely, 2107278020 is an apocalyptic number.

107278020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107278020 is an abundant number, since it is smaller than the sum of its proper divisors (229262184).

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

107278020 is a wasteful number, since it uses less digits than its factorization.

107278020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66242 (or 66231 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 107278020 is about 10357.5103186046. The cubic root of 107278020 is about 475.1567645084.

The spelling of 107278020 in words is "one hundred seven million, two hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 66221 132442 198663 264884 331105 397326 595989 662210 794652 993315 1191978 1324420 1787967 1986630 2383956 2979945 3575934 3973260 5363901 5959890 7151868 8939835 10727802 11919780 17879670 21455604 26819505 35759340 53639010 107278020