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21487872 = 28372571
BaseRepresentation
bin101000111111…
…0000100000000
31111102200211010
41101332010000
521000102442
62044320520
7350433600
oct121760400
944380733
1021487872
111114717a
127243140
1345b4723
142bd4c00
151d46b9c
hex147e100

21487872 has 108 divisors (see below), whose sum is σ = 66642576. Its totient is φ = 6128640.

The previous prime is 21487783. The next prime is 21487891. The reversal of 21487872 is 27878412.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21487872.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37347 + ... + 37917.

Almost surely, 221487872 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 21487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33321288).

21487872 is an abundant number, since it is smaller than the sum of its proper divisors (45154704).

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

21487872 is an equidigital number, since it uses as much as digits as its factorization.

21487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 583 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 21487872 is about 4635.5012673928. The cubic root of 21487872 is about 278.0125936706.

The spelling of 21487872 in words is "twenty-one million, four hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 571 588 672 768 784 896 1142 1176 1344 1568 1713 1792 2284 2352 2688 3136 3426 3997 4568 4704 5376 6272 6852 7994 9136 9408 11991 12544 13704 15988 18272 18816 23982 27408 27979 31976 36544 37632 47964 54816 55958 63952 73088 83937 95928 109632 111916 127904 146176 167874 191856 219264 223832 255808 335748 383712 438528 447664 511616 671496 767424 895328 1023232 1342992 1534848 1790656 2685984 3069696 3581312 5371968 7162624 10743936 21487872