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20312992 = 257295359
BaseRepresentation
bin100110101111…
…1001110100000
31102020000012001
41031133032200
520200003432
62003213344
7334441360
oct115371640
942200161
1020312992
11105144a7
126977254
134292a2b
1429aa9a0
151bb39e7
hex135f3a0

20312992 has 96 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 8107008.

The previous prime is 20312989. The next prime is 20313001. The reversal of 20312992 is 29921302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 20312992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344259 + ... + 344317.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 220312992 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 20312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

20312992 is an abundant number, since it is smaller than the sum of its proper divisors (28675808).

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

20312992 is a wasteful number, since it uses less digits than its factorization.

20312992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 20312992 is about 4506.9936764988. The cubic root of 20312992 is about 272.8504236820.

It can be divided in two parts, 203 and 12992, that multiplied together give a square (2637376 = 16242).

The spelling of 20312992 in words is "twenty million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 59 106 112 116 118 203 212 224 232 236 371 406 413 424 464 472 742 812 826 848 928 944 1484 1537 1624 1652 1696 1711 1888 2968 3074 3127 3248 3304 3422 5936 6148 6254 6496 6608 6844 10759 11872 11977 12296 12508 13216 13688 21518 21889 23954 24592 25016 27376 43036 43778 47908 49184 50032 54752 86072 87556 90683 95816 100064 172144 175112 181366 191632 344288 350224 362732 383264 634781 700448 725464 1269562 1450928 2539124 2901856 5078248 10156496 20312992