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106753938 = 23103172741
BaseRepresentation
bin1100101110011…
…10111110010010
321102212122212120
412113032332102
5204312111223
614332035110
72434251654
oct627167622
9242778776
10106753938
11552948a5
122b902a96
1319169a15
141026c6d4
15958abe3
hex65cef92

106753938 has 16 divisors (see below), whose sum is σ = 215582016. Its totient is φ = 35238960.

The previous prime is 106753921. The next prime is 106753939. The reversal of 106753938 is 839357601.

It is a super-2 number, since 2×1067539382 = 22792806557015688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106753938.

It is not an unprimeable number, because it can be changed into a prime (106753939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85753 + ... + 86988.

It is an arithmetic number, because the mean of its divisors is an integer number (13473876).

Almost surely, 2106753938 is an apocalyptic number.

106753938 is an abundant number, since it is smaller than the sum of its proper divisors (108828078).

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

106753938 is a wasteful number, since it uses less digits than its factorization.

106753938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172849.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 106753938 is about 10332.1797313055. The cubic root of 106753938 is about 474.3817448497.

The spelling of 106753938 in words is "one hundred six million, seven hundred fifty-three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 103 206 309 618 172741 345482 518223 1036446 17792323 35584646 53376969 106753938