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21534984 = 2334167199
BaseRepresentation
bin101001000100…
…1100100001000
31111112002110000
41102021210020
521003104414
62045323000
7351021132
oct122114410
944462400
1021534984
1111179609
127266460
1345cccc3
142c08052
151d55b09
hex1489908

21534984 has 80 divisors (see below), whose sum is σ = 60984000. Its totient is φ = 7099488.

The previous prime is 21534983. The next prime is 21534991. The reversal of 21534984 is 48943512.

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

Its product of digits (34560) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (21534983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 108117 + ... + 108315.

It is an arithmetic number, because the mean of its divisors is an integer number (762300).

Almost surely, 221534984 is an apocalyptic number.

21534984 is a gapful number since it is divisible by the number (24) 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 21534984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30492000).

21534984 is an abundant number, since it is smaller than the sum of its proper divisors (39449016).

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

21534984 is a wasteful number, since it uses less digits than its factorization.

21534984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 21534984 is about 4640.5801361468. The cubic root of 21534984 is about 278.2156255442.

The spelling of 21534984 in words is "twenty-one million, five hundred thirty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 199 216 324 334 398 501 597 648 668 796 1002 1194 1336 1503 1592 1791 2004 2388 3006 3582 4008 4509 4776 5373 6012 7164 9018 10746 12024 13527 14328 16119 18036 21492 27054 32238 33233 36072 42984 54108 64476 66466 99699 108216 128952 132932 199398 265864 299097 398796 598194 797592 897291 1196388 1794582 2392776 2691873 3589164 5383746 7178328 10767492 21534984