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101979864 = 2333767447
BaseRepresentation
bin1100001010000…
…01011011011000
321002220010002000
412011001123120
5202101323424
614041441000
72345546250
oct605013330
9232803060
10101979864
1152623a88
122a1a0160
1318187a1c
14d788960
158e463c9
hex61416d8

101979864 has 64 divisors (see below), whose sum is σ = 323750400. Its totient is φ = 29136672.

The previous prime is 101979827. The next prime is 101979869. The reversal of 101979864 is 468979101.

It is a happy number.

It is a super-2 number, since 2×1019798642 = 20799785322916992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101979869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32212 + ... + 35235.

It is an arithmetic number, because the mean of its divisors is an integer number (5058600).

Almost surely, 2101979864 is an apocalyptic number.

101979864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101979864 is an abundant number, since it is smaller than the sum of its proper divisors (221770536).

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

101979864 is a wasteful number, since it uses less digits than its factorization.

101979864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67469 (or 67459 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 101979864 is about 10098.5080086120. The cubic root of 101979864 is about 467.2021250568.

The spelling of 101979864 in words is "one hundred one million, nine hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 67447 134894 202341 269788 404682 472129 539576 607023 809364 944258 1214046 1416387 1618728 1821069 1888516 2428092 2832774 3642138 3777032 4249161 4856184 5665548 7284276 8498322 11331096 12747483 14568552 16996644 25494966 33993288 50989932 101979864