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40656 = 2437112
BaseRepresentation
bin1001111011010000
32001202210
421323100
52300111
6512120
7226350
oct117320
961683
1040656
1128600
121b640
1315675
1410b60
15c0a6
hex9ed0

40656 has 60 divisors (see below), whose sum is σ = 131936. Its totient is φ = 10560.

The previous prime is 40639. The next prime is 40693. The reversal of 40656 is 65604.

Multipling 40656 by its sum of digits (21), we get a square (853776 = 9242).

40656 divided by its sum of digits (21) gives a square (1936 = 442).

It can be divided in two parts, 40 and 656, that added together give a palindrome (696).

40656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

40656 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3691 + ... + 3701.

240656 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 40656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65968).

40656 is an abundant number, since it is smaller than the sum of its proper divisors (91280).

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

40656 is a wasteful number, since it uses less digits than its factorization.

40656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 40656 is about 201.6333305781. The cubic root of 40656 is about 34.3854634813.

The spelling of 40656 in words is "forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6776 10164 13552 20328 40656