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21639072 = 2537132477
BaseRepresentation
bin101001010001…
…0111110100000
31111201101020010
41102202332200
521014422242
62051444520
7351633450
oct122427640
944641203
1021639072
111123a834
1272b6740
1346384b0
142c33d60
151d7689c
hex14a2fa0

21639072 has 96 divisors (see below), whose sum is σ = 69939072. Its totient is φ = 5704704.

The previous prime is 21639053. The next prime is 21639073. The reversal of 21639072 is 27093612.

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

It is not an unprimeable number, because it can be changed into a prime (21639073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7498 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (728532).

Almost surely, 221639072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21639072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34969536).

21639072 is an abundant number, since it is smaller than the sum of its proper divisors (48300000).

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

21639072 is a wasteful number, since it uses less digits than its factorization.

21639072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 21639072 is about 4651.7815941852. The cubic root of 21639072 is about 278.6631512368.

The spelling of 21639072 in words is "twenty-one million, six hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2477 2912 4368 4954 7431 8736 9908 14862 17339 19816 29724 32201 34678 39632 52017 59448 64402 69356 79264 96603 104034 118896 128804 138712 193206 208068 225407 237792 257608 277424 386412 416136 450814 515216 554848 676221 772824 832272 901628 1030432 1352442 1545648 1664544 1803256 2704884 3091296 3606512 5409768 7213024 10819536 21639072