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10040868 = 2233239389
BaseRepresentation
bin100110010011…
…011000100100
3200220010111000
4212103120210
510032301433
6555113300
7151226445
oct46233044
920803430
1010040868
115738942
123442830
132107356
1414952cc
15d35113
hex993624

10040868 has 48 divisors (see below), whose sum is σ = 26208000. Its totient is φ = 3324384.

The previous prime is 10040843. The next prime is 10040879. The reversal of 10040868 is 86804001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25618 + ... + 26006.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 210040868 is an apocalyptic number.

10040868 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 10040868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13104000).

10040868 is an abundant number, since it is smaller than the sum of its proper divisors (16167132).

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

10040868 is a wasteful number, since it uses less digits than its factorization.

10040868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10040868 is about 3168.7328697762. The cubic root of 10040868 is about 215.7365615512.

Adding to 10040868 its reverse (86804001), we get a palindrome (96844869).

The spelling of 10040868 in words is "ten million, forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 389 478 717 778 956 1167 1434 1556 2151 2334 2868 3501 4302 4668 6453 7002 8604 10503 12906 14004 21006 25812 42012 92971 185942 278913 371884 557826 836739 1115652 1673478 2510217 3346956 5020434 10040868