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106979724 = 22332934157
BaseRepresentation
bin1100110000001…
…10000110001100
321110022010121000
412120012012030
5204341322344
614340540300
72436212145
oct630060614
9243263530
10106979724
11554294a5
122b9b1690
1319218717
14102caacc
1595d2a69
hex660618c

106979724 has 48 divisors (see below), whose sum is σ = 286927200. Its totient is φ = 34429248.

The previous prime is 106979723. The next prime is 106979731. The reversal of 106979724 is 427979601.

It is a super-2 number, since 2×1069797242 = 22889322694232352, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106979724.

It is not an unprimeable number, because it can be changed into a prime (106979723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13947 + ... + 20210.

It is an arithmetic number, because the mean of its divisors is an integer number (5977650).

Almost surely, 2106979724 is an apocalyptic number.

It is an amenable number.

106979724 is an abundant number, since it is smaller than the sum of its proper divisors (179947476).

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

106979724 is a wasteful number, since it uses less digits than its factorization.

106979724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34199 (or 34191 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 106979724 is about 10343.1003089016. The cubic root of 106979724 is about 474.7159505789.

The spelling of 106979724 in words is "one hundred six million, nine hundred seventy-nine thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 34157 68314 102471 136628 204942 307413 409884 614826 922239 990553 1229652 1844478 1981106 2971659 3688956 3962212 5943318 8914977 11886636 17829954 26744931 35659908 53489862 106979724