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20314962 = 234891409
BaseRepresentation
bin100110101111…
…1101101010010
31102020002220000
41031133231102
520200034322
62003230430
7334450203
oct115375522
942202800
1020314962
1110515a28
126978416
1342938b5
1429ab5aa
151bb43ac
hex135fb52

20314962 has 40 divisors (see below), whose sum is σ = 46064700. Its totient is φ = 6690816.

The previous prime is 20314937. The next prime is 20314969. The reversal of 20314962 is 26941302.

It can be written as a sum of positive squares in 2 ways, for example, as 15610401 + 4704561 = 3951^2 + 2169^2 .

It is a super-2 number, since 2×203149622 = 825395362122888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20314969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13714 + ... + 15122.

Almost surely, 220314962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23032350).

20314962 is an abundant number, since it is smaller than the sum of its proper divisors (25749738).

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

20314962 is a wasteful number, since it uses less digits than its factorization.

20314962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20314962 is about 4507.2122204307. The cubic root of 20314962 is about 272.8592439477.

The spelling of 20314962 in words is "twenty million, three hundred fourteen thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 267 534 801 1409 1602 2403 2818 4227 4806 7209 8454 12681 14418 25362 38043 76086 114129 125401 228258 250802 376203 752406 1128609 2257218 3385827 6771654 10157481 20314962