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106383872 = 29729683
BaseRepresentation
bin1100101011101…
…00101000000000
321102011212020102
412111310220000
5204213240442
614320101532
72431151030
oct625645000
9242155212
10106383872
1155061861
122b7648a8
131906a44a
14101b38c0
159516232
hex6574a00

106383872 has 40 divisors (see below), whose sum is σ = 242933856. Its totient is φ = 45591552.

The previous prime is 106383857. The next prime is 106383881. The reversal of 106383872 is 278383601.

It is a happy number.

It is a super-2 number, since 2×1063838722 = 22635056443424768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11258 + ... + 18425.

Almost surely, 2106383872 is an apocalyptic number.

It is an amenable number.

106383872 is an abundant number, since it is smaller than the sum of its proper divisors (136549984).

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

106383872 is an frugal number, since it uses more digits than its factorization.

106383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29708 (or 29692 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 106383872 is about 10314.2557656866. The cubic root of 106383872 is about 473.8329569781.

The spelling of 106383872 in words is "one hundred six million, three hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 29683 59366 118732 207781 237464 415562 474928 831124 949856 1662248 1899712 3324496 3799424 6648992 7598848 13297984 15197696 26595968 53191936 106383872