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21364920 = 23325173491
BaseRepresentation
bin101000110000…
…0000010111000
31111012110011100
41101200002320
520432134140
62041531400
7346412253
oct121400270
944173140
1021364920
1111072865
1271a3b60
134570785
142ba209a
151d20530
hex14600b8

21364920 has 96 divisors (see below), whose sum is σ = 73541520. Its totient is φ = 5360640.

The previous prime is 21364919. The next prime is 21364939. The reversal of 21364920 is 2946312.

21364920 is a `hidden beast` number, since 2 + 13 + 649 + 2 + 0 = 666.

It is a congruent number.

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, 4375 + ... + 7865.

Almost surely, 221364920 is an apocalyptic number.

21364920 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 21364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36770760).

21364920 is an abundant number, since it is smaller than the sum of its proper divisors (52176600).

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

21364920 is a wasteful number, since it uses less digits than its factorization.

21364920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21364920 is about 4622.2202457261. The cubic root of 21364920 is about 277.4813233108.

It can be divided in two parts, 2136 and 4920, that added together give a square (7056 = 842).

The spelling of 21364920 in words is "twenty-one million, three hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 3491 6120 6982 10473 13964 17455 20946 27928 31419 34910 41892 52365 59347 62838 69820 83784 104730 118694 125676 139640 157095 178041 209460 237388 251352 296735 314190 356082 418920 474776 534123 593470 628380 712164 890205 1068246 1186940 1256760 1424328 1780410 2136492 2373880 2670615 3560820 4272984 5341230 7121640 10682460 21364920