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102256668 = 22342910883
BaseRepresentation
bin1100001100001…
…01000000011100
321010102011210000
412012011000130
5202134203133
614051414300
72351111253
oct606050034
9233364700
10102256668
11527a2a48
122a2b4390
1318253a07
14d81b79a
158e9d413
hex618501c

102256668 has 60 divisors (see below), whose sum is σ = 276562440. Its totient is φ = 32907168.

The previous prime is 102256621. The next prime is 102256681. The reversal of 102256668 is 866652201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3955 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (4609374).

Almost surely, 2102256668 is an apocalyptic number.

102256668 is a gapful number since it is divisible by the number (18) 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 102256668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138281220).

102256668 is an abundant number, since it is smaller than the sum of its proper divisors (174305772).

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

102256668 is a wasteful number, since it uses less digits than its factorization.

102256668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10928 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 102256668 is about 10112.2039140832. The cubic root of 102256668 is about 467.6244521729.

The spelling of 102256668 in words is "one hundred two million, two hundred fifty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 10883 21766 32649 43532 65298 97947 130596 195894 293841 315607 391788 587682 631214 881523 946821 1175364 1262428 1763046 1893642 2840463 3526092 3787284 5680926 8521389 11361852 17042778 25564167 34085556 51128334 102256668