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20312320 = 28572267
BaseRepresentation
bin100110101111…
…1000100000000
31102012222021011
41031133010000
520144443240
62003210304
7334436410
oct115370400
942188234
1020312320
1110513a46
126976994
134292632
1429aa640
151bb36ea
hex135f100

20312320 has 72 divisors (see below), whose sum is σ = 55629504. Its totient is φ = 6961152.

The previous prime is 20312309. The next prime is 20312351. The reversal of 20312320 is 2321302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20312320.

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, 7827 + ... + 10093.

It is an arithmetic number, because the mean of its divisors is an integer number (772632).

Almost surely, 220312320 is an apocalyptic number.

20312320 is a gapful number since it is divisible by the number (20) 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 20312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27814752).

20312320 is an abundant number, since it is smaller than the sum of its proper divisors (35317184).

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

20312320 is an equidigital number, since it uses as much as digits as its factorization.

20312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 20312320 is about 4506.9191250787. The cubic root of 20312320 is about 272.8474148112.

Adding to 20312320 its reverse (2321302), we get a palindrome (22633622).

The spelling of 20312320 in words is "twenty million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 2267 4480 4534 8960 9068 11335 15869 18136 22670 31738 36272 45340 63476 72544 79345 90680 126952 145088 158690 181360 253904 290176 317380 362720 507808 580352 634760 725440 1015616 1269520 1450880 2031232 2539040 2901760 4062464 5078080 10156160 20312320