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31013056 = 264153223
BaseRepresentation
bin111011001001…
…1100011000000
32011100121220201
41312103203000
530414404211
63024414544
7524415034
oct166234300
964317821
1031013056
1116562628
12a477454
13656b129
1441941c4
152ac90c1
hex1d938c0

31013056 has 56 divisors (see below), whose sum is σ = 64520064. Its totient is φ = 14776320.

The previous prime is 31013053. The next prime is 31013057. The reversal of 31013056 is 65031013.

31013056 = T273 + T274 + ... + T590.

It is not an unprimeable number, because it can be changed into a prime (31013053) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138961 + ... + 139183.

It is an arithmetic number, because the mean of its divisors is an integer number (1152144).

Almost surely, 231013056 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 31013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32260032).

31013056 is an abundant number, since it is smaller than the sum of its proper divisors (33507008).

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

31013056 is a wasteful number, since it uses less digits than its factorization.

31013056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 31013056 is about 5568.9367028186. The cubic root of 31013056 is about 314.1821599804.

Adding to 31013056 its reverse (65031013), we get a palindrome (96044069).

It can be divided in two parts, 310 and 13056, that added together give a triangular number (13366 = T163).

The spelling of 31013056 in words is "thirty-one million, thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 53 64 82 106 164 212 223 328 424 446 656 848 892 1312 1696 1784 2173 2624 3392 3568 4346 7136 8692 9143 11819 14272 17384 18286 23638 34768 36572 47276 69536 73144 94552 139072 146288 189104 292576 378208 484579 585152 756416 969158 1938316 3876632 7753264 15506528 31013056