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20972562 = 231333743
BaseRepresentation
bin101000000000…
…0010000010010
31110110111221120
41100000100102
520332110222
62025303110
7343156332
oct120002022
943414846
1020972562
1110924aa6
127034a96
134464000
142add0c2
151c9415c
hex1400412

20972562 has 64 divisors (see below), whose sum is σ = 47752320. Its totient is φ = 6132672.

The previous prime is 20972537. The next prime is 20972579. The reversal of 20972562 is 26527902.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487713 + ... + 487755.

It is an arithmetic number, because the mean of its divisors is an integer number (746130).

Almost surely, 220972562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20972562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23876160).

20972562 is an abundant number, since it is smaller than the sum of its proper divisors (26779758).

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

20972562 is a wasteful number, since it uses less digits than its factorization.

20972562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20972562 is about 4579.5809851994. The cubic root of 20972562 is about 275.7722075518.

It can be divided in two parts, 209 and 72562, that added together give a triangular number (72771 = T381).

The spelling of 20972562 in words is "twenty million, nine hundred seventy-two thousand, five hundred sixty-two".

Divisors: 1 2 3 6 13 26 37 39 43 74 78 86 111 129 169 222 258 338 481 507 559 962 1014 1118 1443 1591 1677 2197 2886 3182 3354 4394 4773 6253 6591 7267 9546 12506 13182 14534 18759 20683 21801 37518 41366 43602 62049 81289 94471 124098 162578 188942 243867 268879 283413 487734 537758 566826 806637 1613274 3495427 6990854 10486281 20972562