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21499680 = 253547953
BaseRepresentation
bin101001000000…
…0111100100000
31111110022000110
41102000330200
521000442210
62044451320
7350513166
oct122007440
944408013
1021499680
1111155034
127249b40
1345b9c07
142bd9236
151d4a420
hex1480f20

21499680 has 96 divisors (see below), whose sum is σ = 69237504. Its totient is φ = 5605376.

The previous prime is 21499669. The next prime is 21499691. The reversal of 21499680 is 8699412.

It is an interprime number because it is at equal distance from previous prime (21499669) and next prime (21499691).

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

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, 22084 + ... + 23036.

It is an arithmetic number, because the mean of its divisors is an integer number (721224).

Almost surely, 221499680 is an apocalyptic number.

21499680 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 21499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618752).

21499680 is an abundant number, since it is smaller than the sum of its proper divisors (47737824).

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

21499680 is a wasteful number, since it uses less digits than its factorization.

21499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 21499680 is about 4636.7747411320. The cubic root of 21499680 is about 278.0635087725.

The spelling of 21499680 in words is "twenty-one million, four hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 953 1128 1410 1504 1880 1906 2256 2820 2859 3760 3812 4512 4765 5640 5718 7520 7624 9530 11280 11436 14295 15248 19060 22560 22872 28590 30496 38120 44791 45744 57180 76240 89582 91488 114360 134373 152480 179164 223955 228720 268746 358328 447910 457440 537492 671865 716656 895820 1074984 1343730 1433312 1791640 2149968 2687460 3583280 4299936 5374920 7166560 10749840 21499680