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106408896 = 2631150383
BaseRepresentation
bin1100101011110…
…10101111000000
321102020010120020
412111322233000
5204220041041
614320413440
72431314006
oct625725700
9242203506
10106408896
1155079640
122b777280
1319078959
14101bca76
15951d866
hex657abc0

106408896 has 56 divisors (see below), whose sum is σ = 307140864. Its totient is φ = 32244480.

The previous prime is 106408733. The next prime is 106408909. The reversal of 106408896 is 698804601.

It is a super-2 number, since 2×1064088962 = 22645706295877632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23080 + ... + 27303.

Almost surely, 2106408896 is an apocalyptic number.

106408896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106408896 is an abundant number, since it is smaller than the sum of its proper divisors (200731968).

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

106408896 is a wasteful number, since it uses less digits than its factorization.

106408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50409 (or 50399 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106408896 is about 10315.4687726734. The cubic root of 106408896 is about 473.8701063007.

The spelling of 106408896 in words is "one hundred six million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 50383 100766 151149 201532 302298 403064 554213 604596 806128 1108426 1209192 1612256 1662639 2216852 2418384 3224512 3325278 4433704 4836768 6650556 8867408 9673536 13301112 17734816 26602224 35469632 53204448 106408896