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20275872 = 253297283
BaseRepresentation
bin100110101011…
…0001010100000
31102011010021020
41031112022200
520142311442
62002325440
7334225221
oct115261240
942133236
1020275872
1110499621
126959880
13427bb76
14299b248
151ba79ec
hex13562a0

20275872 has 48 divisors (see below), whose sum is σ = 55067040. Its totient is φ = 6524672.

The previous prime is 20275861. The next prime is 20275873. The reversal of 20275872 is 27857202.

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

It is a super-2 number, since 2×202758722 = 822221970720768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20275873) 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, 858 + ... + 6425.

It is an arithmetic number, because the mean of its divisors is an integer number (1147230).

Almost surely, 220275872 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 20275872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27533520).

20275872 is an abundant number, since it is smaller than the sum of its proper divisors (34791168).

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

20275872 is a wasteful number, since it uses less digits than its factorization.

20275872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7325 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 20275872 is about 4502.8737490629. The cubic root of 20275872 is about 272.6841198795.

The spelling of 20275872 in words is "twenty million, two hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 7283 14566 21849 29132 43698 58264 87396 116528 174792 211207 233056 349584 422414 633621 699168 844828 1267242 1689656 2534484 3379312 5068968 6758624 10137936 20275872