Search a number
-
+
20755872 = 253324023
BaseRepresentation
bin100111100101…
…1010110100000
31110001111201000
41033023112200
520303141442
62020512000
7341264514
oct117132640
943044630
1020755872
1110797215
126b4b600
1343b94a7
142a84144
151c4ed4c
hex13cb5a0

20755872 has 48 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 6918336.

The previous prime is 20755841. The next prime is 20755877. The reversal of 20755872 is 27855702.

20755872 is a `hidden beast` number, since 2 + 0 + 75 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20755877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11148 + ... + 12875.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 220755872 is an apocalyptic number.

It is an amenable number.

20755872 is an abundant number, since it is smaller than the sum of its proper divisors (39784608).

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

20755872 is a wasteful number, since it uses less digits than its factorization.

20755872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24042 (or 24028 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 20755872 is about 4555.8612797143. The cubic root of 20755872 is about 274.8191516181.

The spelling of 20755872 in words is "twenty million, seven hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 24023 48046 72069 96092 144138 192184 216207 288276 384368 432414 576552 648621 768736 864828 1153104 1297242 1729656 2306208 2594484 3459312 5188968 6918624 10377936 20755872