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106220592 = 2433245881
BaseRepresentation
bin1100101010011…
…00110000110000
321101212120021000
412111030300300
5204143024332
614312402000
72426601012
oct625146060
9241776230
10106220592
1154a60115
122b6a6300
131901102a
14101701b2
1594d2b7c
hex654cc30

106220592 has 40 divisors (see below), whose sum is σ = 304893680. Its totient is φ = 35406720.

The previous prime is 106220579. The next prime is 106220617. The reversal of 106220592 is 295022601.

106220592 is a `hidden beast` number, since 10 + 62 + 2 + 0 + 592 = 666.

It is a super-2 number, since 2×1062205922 = 22565628329660928, which contains 22 as substring.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 122509 + ... + 123372.

It is an arithmetic number, because the mean of its divisors is an integer number (7622342).

Almost surely, 2106220592 is an apocalyptic number.

106220592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106220592 is an abundant number, since it is smaller than the sum of its proper divisors (198673088).

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

106220592 is a wasteful number, since it uses less digits than its factorization.

106220592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245898 (or 245886 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106220592 is about 10306.3374677914. The cubic root of 106220592 is about 473.5904168913.

The spelling of 106220592 in words is "one hundred six million, two hundred twenty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 245881 491762 737643 983524 1475286 1967048 2212929 2950572 3934096 4425858 5901144 6638787 8851716 11802288 13277574 17703432 26555148 35406864 53110296 106220592