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21295920 = 243589997
BaseRepresentation
bin101000100111…
…1001100110000
31111001221111210
41101033030300
520422432140
62040240120
7346004142
oct121171460
944057453
1021295920
1111025a38
127170040
134548249
142b84c92
151d09d80
hex144f330

21295920 has 80 divisors (see below), whose sum is σ = 66826080. Its totient is φ = 5609472.

The previous prime is 21295913. The next prime is 21295961. The reversal of 21295920 is 2959212.

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 (30).

It is an unprimeable number.

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, 20862 + ... + 21858.

It is an arithmetic number, because the mean of its divisors is an integer number (835326).

Almost surely, 221295920 is an apocalyptic number.

21295920 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 21295920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33413040).

21295920 is an abundant number, since it is smaller than the sum of its proper divisors (45530160).

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

21295920 is a wasteful number, since it uses less digits than its factorization.

21295920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 21295920 is about 4614.7502640988. The cubic root of 21295920 is about 277.1822838907.

The spelling of 21295920 in words is "twenty-one million, two hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 997 1068 1335 1424 1780 1994 2136 2670 2991 3560 3988 4272 4985 5340 5982 7120 7976 9970 10680 11964 14955 15952 19940 21360 23928 29910 39880 47856 59820 79760 88733 119640 177466 239280 266199 354932 443665 532398 709864 887330 1064796 1330995 1419728 1774660 2129592 2661990 3549320 4259184 5323980 7098640 10647960 21295920