Search a number
-
+
20972644 = 22711149457
BaseRepresentation
bin101000000000…
…0010001100100
31110110112001121
41100000101210
520332111034
62025303324
7343156510
oct120002144
943415047
1020972644
1110925070
127034b44
134464064
142add140
151c941b4
hex1400464

20972644 has 48 divisors (see below), whose sum is σ = 46166400. Its totient is φ = 8098560.

The previous prime is 20972641. The next prime is 20972659. The reversal of 20972644 is 44627902.

It is not an unprimeable number, because it can be changed into a prime (20972641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45664 + ... + 46120.

It is an arithmetic number, because the mean of its divisors is an integer number (961800).

Almost surely, 220972644 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 20972644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083200).

20972644 is an abundant number, since it is smaller than the sum of its proper divisors (25193756).

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

20972644 is a wasteful number, since it uses less digits than its factorization.

20972644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 20972644 is about 4579.5899379748. The cubic root of 20972644 is about 275.7725669625.

The spelling of 20972644 in words is "twenty million, nine hundred seventy-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 149 154 298 308 457 596 914 1043 1639 1828 2086 3199 3278 4172 5027 6398 6556 10054 11473 12796 20108 22946 35189 45892 68093 70378 136186 140756 272372 476651 749023 953302 1498046 1906604 2996092 5243161 10486322 20972644