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40868320 = 255733499
BaseRepresentation
bin1001101111100…
…1100111100000
32211220022210111
42123321213200
540430241240
64015541104
71004242423
oct233714740
984808714
1040868320
1121083a79
121182a794
13860bb4c
1455db9ba
1538c41ea
hex26f99e0

40868320 has 48 divisors (see below), whose sum is σ = 97902000. Its totient is φ = 16118784.

The previous prime is 40868299. The next prime is 40868339. The reversal of 40868320 is 2386804.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9931 + ... + 13429.

It is an arithmetic number, because the mean of its divisors is an integer number (2039625).

Almost surely, 240868320 is an apocalyptic number.

40868320 is a gapful number since it is divisible by the number (40) 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 40868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48951000).

40868320 is an abundant number, since it is smaller than the sum of its proper divisors (57033680).

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

40868320 is a wasteful number, since it uses less digits than its factorization.

40868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 40868320 is about 6392.8334875859. The cubic root of 40868320 is about 344.4521726404.

The spelling of 40868320 in words is "forty million, eight hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 3499 5840 6998 11680 13996 17495 27992 34990 55984 69980 111968 139960 255427 279920 510854 559840 1021708 1277135 2043416 2554270 4086832 5108540 8173664 10217080 20434160 40868320