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21420672 = 273713613
BaseRepresentation
bin101000110110…
…1101010000000
31111022021122020
41101231222000
520440430142
62043041440
7350033640
oct121555200
944267566
1021420672
1111100739
127210280
13458cc70
142bb8520
151d31cec
hex146da80

21420672 has 128 divisors (see below), whose sum is σ = 70143360. Its totient is φ = 5640192.

The previous prime is 21420667. The next prime is 21420677. The reversal of 21420672 is 27602412.

It is an interprime number because it is at equal distance from previous prime (21420667) and next prime (21420677).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21420677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34638 + ... + 35250.

It is an arithmetic number, because the mean of its divisors is an integer number (547995).

Almost surely, 221420672 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 21420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35071680).

21420672 is an abundant number, since it is smaller than the sum of its proper divisors (48722688).

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

21420672 is a wasteful number, since it uses less digits than its factorization.

21420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 21420672 is about 4628.2471844101. The cubic root of 21420672 is about 277.7224772166.

The spelling of 21420672 in words is "twenty-one million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 613 624 672 728 832 896 1092 1226 1248 1344 1456 1664 1839 2184 2452 2496 2688 2912 3678 4291 4368 4904 4992 5824 7356 7969 8582 8736 9808 11648 12873 14712 15938 17164 17472 19616 23907 25746 29424 31876 34328 34944 39232 47814 51492 55783 58848 63752 68656 78464 95628 102984 111566 117696 127504 137312 167349 191256 205968 223132 235392 255008 274624 334698 382512 411936 446264 510016 549248 669396 765024 823872 892528 1020032 1338792 1530048 1647744 1785056 2677584 3060096 3570112 5355168 7140224 10710336 21420672