Search a number
-
+
31990656 = 273227367
BaseRepresentation
bin111101000001…
…0001110000000
32020012021221010
41322002032000
531142200111
63101400520
7535626135
oct172021600
966167833
1031990656
1117070065
12a869140
1368210a9
14436a58c
152c1daa6
hex1e82380

31990656 has 64 divisors (see below), whose sum is σ = 85582080. Its totient is φ = 10587648.

The previous prime is 31990649. The next prime is 31990669. The reversal of 31990656 is 65609913.

It is a tau number, because it is divible by the number of its divisors (64).

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, 86985 + ... + 87351.

It is an arithmetic number, because the mean of its divisors is an integer number (1337220).

Almost surely, 231990656 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 31990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42791040).

31990656 is an abundant number, since it is smaller than the sum of its proper divisors (53591424).

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

31990656 is a wasteful number, since it uses less digits than its factorization.

31990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 31990656 is about 5656.0282884724. The cubic root of 31990656 is about 317.4493059783.

The spelling of 31990656 in words is "thirty-one million, nine hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 367 384 454 681 734 908 1101 1362 1468 1816 2202 2724 2936 3632 4404 5448 5872 7264 8808 10896 11744 14528 17616 21792 23488 29056 35232 43584 46976 70464 83309 87168 140928 166618 249927 333236 499854 666472 999708 1332944 1999416 2665888 3998832 5331776 7997664 10663552 15995328 31990656