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21660672 = 210311641
BaseRepresentation
bin101001010100…
…0010000000000
31111202110212010
41102220100000
521021120142
62052132520
7352053435
oct122502000
944673763
1021660672
1111254a90
127307140
134645287
142c3bb8c
151d7ce9c
hex14a8400

21660672 has 88 divisors (see below), whose sum is σ = 63080352. Its totient is φ = 6553600.

The previous prime is 21660643. The next prime is 21660677. The reversal of 21660672 is 27606612.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×216606722 = 938369422983168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21660677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33472 + ... + 34112.

Almost surely, 221660672 is an apocalyptic number.

21660672 is a gapful number since it is divisible by the number (22) 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 21660672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540176).

21660672 is an abundant number, since it is smaller than the sum of its proper divisors (41419680).

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

21660672 is a wasteful number, since it uses less digits than its factorization.

21660672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 21660672 is about 4654.1027062152. The cubic root of 21660672 is about 278.7558403999.

The spelling of 21660672 in words is "twenty-one million, six hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 641 704 768 1024 1056 1282 1408 1536 1923 2112 2564 2816 3072 3846 4224 5128 5632 7051 7692 8448 10256 11264 14102 15384 16896 20512 21153 28204 30768 33792 41024 42306 56408 61536 82048 84612 112816 123072 164096 169224 225632 246144 328192 338448 451264 492288 656384 676896 902528 984576 1353792 1805056 1969152 2707584 3610112 5415168 7220224 10830336 21660672