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10801868 = 22711172063
BaseRepresentation
bin101001001101…
…001011001100
3202022210101012
4221031023030
510231124433
61023304352
7160546220
oct51151314
922283335
1010801868
116108670
12374b0b8
13231284c
141612780
15e35848
hexa4d2cc

10801868 has 48 divisors (see below), whose sum is σ = 24966144. Its totient is φ = 3959040.

The previous prime is 10801859. The next prime is 10801871. The reversal of 10801868 is 86810801.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205 + ... + 6267.

It is an arithmetic number, because the mean of its divisors is an integer number (520128).

Almost surely, 210801868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10801868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483072).

10801868 is an abundant number, since it is smaller than the sum of its proper divisors (14164276).

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

10801868 is a wasteful number, since it uses less digits than its factorization.

10801868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 10801868 is about 3286.6195398920. The cubic root of 10801868 is about 221.0546332038.

The spelling of 10801868 in words is "ten million, eight hundred one thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2063 2618 4126 5236 8252 14441 22693 28882 35071 45386 57764 70142 90772 140284 158851 245497 317702 385781 490994 635404 771562 981988 1543124 2700467 5400934 10801868