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20461572 = 22372339
BaseRepresentation
bin100111000001…
…1100000000100
31102111120000000
41032003200010
520214232242
62010321300
7335630505
oct116034004
942446000
1020461572
111060609a
126a29230
134315551
142a08bac
151be2a4c
hex1383804

20461572 has 48 divisors (see below), whose sum is σ = 53726400. Its totient is φ = 6817608.

The previous prime is 20461547. The next prime is 20461579. The reversal of 20461572 is 27516402.

It is a super-2 number, since 2×204615722 = 837351857422368, 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 (20461579) 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, 7579 + ... + 9917.

It is an arithmetic number, because the mean of its divisors is an integer number (1119300).

Almost surely, 220461572 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 20461572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26863200).

20461572 is an abundant number, since it is smaller than the sum of its proper divisors (33264828).

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

20461572 is an equidigital number, since it uses as much as digits as its factorization.

20461572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20461572 is about 4523.4469157933. The cubic root of 20461572 is about 273.5140658098.

Adding to 20461572 its reverse (27516402), we get a palindrome (47977974).

It can be divided in two parts, 204 and 61572, that added together give a triangular number (61776 = T351).

The spelling of 20461572 in words is "twenty million, four hundred sixty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2339 2916 4374 4678 7017 8748 9356 14034 21051 28068 42102 63153 84204 126306 189459 252612 378918 568377 757836 1136754 1705131 2273508 3410262 5115393 6820524 10230786 20461572