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106204656 = 2433137069
BaseRepresentation
bin1100101010010…
…00110111110000
321101211202101210
412111020313300
5204142022111
614312200120
72426503365
oct625106760
9241752353
10106204656
1154a4a148
122b699040
13190069bc
141016846c
1594cd0a6
hex6548df0

106204656 has 40 divisors (see below), whose sum is σ = 275277520. Its totient is φ = 35283456.

The previous prime is 106204649. The next prime is 106204687. The reversal of 106204656 is 656402601.

It is a super-2 number, since 2×1062046562 = 22558857912156672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11490 + ... + 18558.

It is an arithmetic number, because the mean of its divisors is an integer number (6881938).

Almost surely, 2106204656 is an apocalyptic number.

106204656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106204656 is an abundant number, since it is smaller than the sum of its proper divisors (169072864).

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

106204656 is a wasteful number, since it uses less digits than its factorization.

106204656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7387 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106204656 is about 10305.5643222484. The cubic root of 106204656 is about 473.5667318593.

The spelling of 106204656 in words is "one hundred six million, two hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 313 626 939 1252 1878 2504 3756 5008 7069 7512 14138 15024 21207 28276 42414 56552 84828 113104 169656 339312 2212597 4425194 6637791 8850388 13275582 17700776 26551164 35401552 53102328 106204656