Search a number
-
+
20057952 = 253432113
BaseRepresentation
bin100110010000…
…0111101100000
31101202001100010
41030200331200
520113323302
61553524520
7332326665
oct114407540
941661303
1020057952
111035a922
126873740
134203915
142941a6c
151b6316c
hex1320f60

20057952 has 72 divisors (see below), whose sum is σ = 54382104. Its totient is φ = 6472704.

The previous prime is 20057941. The next prime is 20057953. The reversal of 20057952 is 25975002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20057953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177448 + ... + 177560.

It is an arithmetic number, because the mean of its divisors is an integer number (755307).

Almost surely, 220057952 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 20057952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27191052).

20057952 is an abundant number, since it is smaller than the sum of its proper divisors (34324152).

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

20057952 is a wasteful number, since it uses less digits than its factorization.

20057952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 20057952 is about 4478.6104988043. The cubic root of 20057952 is about 271.7036853883.

The spelling of 20057952 in words is "twenty million, fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 113 129 172 226 258 339 344 452 516 678 688 904 1032 1356 1376 1808 1849 2064 2712 3616 3698 4128 4859 5424 5547 7396 9718 10848 11094 14577 14792 19436 22188 29154 29584 38872 44376 58308 59168 77744 88752 116616 155488 177504 208937 233232 417874 466464 626811 835748 1253622 1671496 2507244 3342992 5014488 6685984 10028976 20057952