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21493920 = 253576397
BaseRepresentation
bin101000111111…
…1100010100000
31111110000010010
41101333202200
521000301140
62044404520
7350460330
oct121774240
944400103
1021493920
1111150778
127246740
1345b73c6
142bd70c0
151d48880
hex147f8a0

21493920 has 96 divisors (see below), whose sum is σ = 77390208. Its totient is φ = 4912128.

The previous prime is 21493909. The next prime is 21493951. The reversal of 21493920 is 2939412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162 + ... + 6558.

It is an arithmetic number, because the mean of its divisors is an integer number (806148).

Almost surely, 221493920 is an apocalyptic number.

21493920 is a gapful number since it is divisible by the number (20) 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 21493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38695104).

21493920 is an abundant number, since it is smaller than the sum of its proper divisors (55896288).

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

21493920 is a wasteful number, since it uses less digits than its factorization.

21493920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 21493920 is about 4636.1535781292. The cubic root of 21493920 is about 278.0386744670.

The spelling of 21493920 in words is "twenty-one million, four hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6397 12794 19191 25588 31985 38382 44779 51176 63970 76764 89558 95955 102352 127940 134337 153528 179116 191910 204704 223895 255880 268674 307056 358232 383820 447790 511760 537348 614112 671685 716464 767640 895580 1023520 1074696 1343370 1432928 1535280 1791160 2149392 2686740 3070560 3582320 4298784 5373480 7164640 10746960 21493920