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21496680 = 23325211283
BaseRepresentation
bin101001000000…
…0001101101000
31111110010220100
41102000031220
521000343210
62044425400
7350501352
oct122001550
944403810
1021496680
1111152857
127248260
1345b873a
142bd80d2
151d495c0
hex1480368

21496680 has 96 divisors (see below), whose sum is σ = 70443360. Its totient is φ = 5685120.

The previous prime is 21496679. The next prime is 21496703. The reversal of 21496680 is 8669412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75819 + ... + 76101.

It is an arithmetic number, because the mean of its divisors is an integer number (733785).

Almost surely, 221496680 is an apocalyptic number.

21496680 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 21496680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35221680).

21496680 is an abundant number, since it is smaller than the sum of its proper divisors (48946680).

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

21496680 is a wasteful number, since it uses less digits than its factorization.

21496680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 21496680 is about 4636.4512291191. The cubic root of 21496680 is about 278.0505747919.

The spelling of 21496680 in words is "twenty-one million, four hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 283 360 422 566 633 844 849 1055 1132 1266 1415 1688 1698 1899 2110 2264 2532 2547 2830 3165 3396 3798 4220 4245 5064 5094 5660 6330 6792 7596 8440 8490 9495 10188 11320 12660 12735 15192 16980 18990 20376 25320 25470 33960 37980 50940 59713 75960 101880 119426 179139 238852 298565 358278 477704 537417 597130 716556 895695 1074834 1194260 1433112 1791390 2149668 2388520 2687085 3582780 4299336 5374170 7165560 10748340 21496680