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21499968 = 263717941
BaseRepresentation
bin101001000000…
…1000001000000
31111110022102010
41102001001000
521000444333
62044452520
7350514060
oct122010100
944408363
1021499968
1111155276
12724a140
1345ba099
142bd93a0
151d4a563
hex1481040

21499968 has 112 divisors (see below), whose sum is σ = 68909184. Its totient is φ = 5775360.

The previous prime is 21499967. The next prime is 21499969. The reversal of 21499968 is 86999412.

It is an interprime number because it is at equal distance from previous prime (21499967) and next prime (21499969).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21499967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22378 + ... + 23318.

Almost surely, 221499968 is an apocalyptic number.

21499968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34454592).

21499968 is an abundant number, since it is smaller than the sum of its proper divisors (47409216).

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

21499968 is a wasteful number, since it uses less digits than its factorization.

21499968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 970 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 21499968 is about 4636.8057970978. The cubic root of 21499968 is about 278.0647503713.

The spelling of 21499968 in words is "twenty-one million, four hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 941 952 1088 1344 1428 1632 1882 1904 2823 2856 3264 3764 3808 5646 5712 6587 7528 7616 11292 11424 13174 15056 15997 19761 22584 22848 26348 30112 31994 39522 45168 47991 52696 60224 63988 79044 90336 95982 105392 111979 127976 158088 180672 191964 210784 223958 255952 316176 335937 383928 421568 447916 511904 632352 671874 767856 895832 1023808 1264704 1343748 1535712 1791664 2687496 3071424 3583328 5374992 7166656 10749984 21499968