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21355920 = 243359887
BaseRepresentation
bin101000101110…
…1110110010000
31111011222211000
41101131312100
520431342140
62041422000
7346344105
oct121356620
944158730
1021355920
1111067023
12719a900
134569651
142b9caac
151d1ca30
hex145dd90

21355920 has 80 divisors (see below), whose sum is σ = 73566720. Its totient is φ = 5694336.

The previous prime is 21355913. The next prime is 21355921. The reversal of 21355920 is 2955312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21355921) 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, 2784 + ... + 7103.

It is an arithmetic number, because the mean of its divisors is an integer number (919584).

Almost surely, 221355920 is an apocalyptic number.

21355920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21355920 is an abundant number, since it is smaller than the sum of its proper divisors (52210800).

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

21355920 is a wasteful number, since it uses less digits than its factorization.

21355920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 21355920 is about 4621.2465850677. The cubic root of 21355920 is about 277.4423547171.

The spelling of 21355920 in words is "twenty-one million, three hundred fifty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9887 19774 29661 39548 49435 59322 79096 88983 98870 118644 148305 158192 177966 197740 237288 266949 296610 355932 395480 444915 474576 533898 593220 711864 790960 889830 1067796 1186440 1334745 1423728 1779660 2135592 2372880 2669490 3559320 4271184 5338980 7118640 10677960 21355920