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21675072 = 263791429
BaseRepresentation
bin101001010101…
…1110001000000
31111210012121110
41102223301000
521022100242
62052323320
7352143426
oct122536100
944705543
1021675072
1111264891
127313540
13464b9b3
142c43116
151d8239c
hex14abc40

21675072 has 56 divisors (see below), whose sum is σ = 58115200. Its totient is φ = 7128576.

The previous prime is 21675061. The next prime is 21675077. The reversal of 21675072 is 27057612.

It is not an unprimeable number, because it can be changed into a prime (21675077) 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, 14454 + ... + 15882.

Almost surely, 221675072 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 21675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29057600).

21675072 is an abundant number, since it is smaller than the sum of its proper divisors (36440128).

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

21675072 is a wasteful number, since it uses less digits than its factorization.

21675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 21675072 is about 4655.6494713412. The cubic root of 21675072 is about 278.8175989472.

The spelling of 21675072 in words is "twenty-one million, six hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1429 1896 2528 2858 3792 4287 5056 5716 7584 8574 11432 15168 17148 22864 34296 45728 68592 91456 112891 137184 225782 274368 338673 451564 677346 903128 1354692 1806256 2709384 3612512 5418768 7225024 10837536 21675072