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100555056 = 24327214251
BaseRepresentation
bin1011111111001…
…01100100110000
321000012201121100
411333211210300
5201220230211
613551124400
72330463300
oct577454460
9230181540
10100555056
1151840558
1229813700
1317aa9344
14d4d7600
158c64156
hex5fe5930

100555056 has 90 divisors (see below), whose sum is σ = 327382692. Its totient is φ = 28728000.

The previous prime is 100555031. The next prime is 100555061. The reversal of 100555056 is 650555001.

100555056 is a `hidden beast` number, since 100 + 5 + 550 + 5 + 6 = 666.

It is a super-2 number, since 2×1005550562 = 20222638574326272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70 + ... + 14181.

Almost surely, 2100555056 is an apocalyptic number.

100555056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100555056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163691346).

100555056 is an abundant number, since it is smaller than the sum of its proper divisors (226827636).

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

100555056 is a wasteful number, since it uses less digits than its factorization.

100555056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14263 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 100555056 is about 10027.7143956138. The cubic root of 100555056 is about 465.0160799157.

Subtracting 100555056 from its reverse (650555001), we obtain a palindrome (549999945).

The spelling of 100555056 in words is "one hundred million, five hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 14251 28502 42753 57004 85506 99757 114008 128259 171012 199514 228016 256518 299271 342024 399028 513036 598542 684048 698299 798056 897813 1026072 1197084 1396598 1596112 1795626 2052144 2094897 2394168 2793196 3591252 4189794 4788336 5586392 6284691 7182504 8379588 11172784 12569382 14365008 16759176 25138764 33518352 50277528 100555056