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106440608 = 2531611759
BaseRepresentation
bin1100101100000…
…10011110100000
321102021202001202
412112002132200
5204222044413
614321220332
72431505321
oct626023640
9242252052
10106440608
11550a044a
122b7916a8
131908a211
14101ca448
159527e58
hex65827a0

106440608 has 48 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 50630400.

The previous prime is 106440599. The next prime is 106440617. The reversal of 106440608 is 806044601.

It is an interprime number because it is at equal distance from previous prime (106440599) and next prime (106440617).

It is a super-2 number, since 2×1064406082 = 22659206062819328, which contains 22 as substring.

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, 59633 + ... + 61391.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2106440608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106440608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

106440608 is an abundant number, since it is smaller than the sum of its proper divisors (113545312).

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

106440608 is a wasteful number, since it uses less digits than its factorization.

106440608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 106440608 is about 10317.0057671788. The cubic root of 106440608 is about 473.9171759124.

The spelling of 106440608 in words is "one hundred six million, four hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 61 62 122 124 244 248 488 496 976 992 1759 1891 1952 3518 3782 7036 7564 14072 15128 28144 30256 54529 56288 60512 107299 109058 214598 218116 429196 436232 858392 872464 1716784 1744928 3326269 3433568 6652538 13305076 26610152 53220304 106440608