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21311920 = 2457192003
BaseRepresentation
bin101000101001…
…1000110110000
31111002202110101
41101103012300
520423440140
62040442144
7346101610
oct121230660
944082411
1021311920
1111036a63
127179354
134552606
142b8aa40
151d0e99a
hex14531b0

21311920 has 80 divisors (see below), whose sum is σ = 59639040. Its totient is φ = 6918912.

The previous prime is 21311903. The next prime is 21311933. The reversal of 21311920 is 2911312.

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 (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9639 + ... + 11641.

It is an arithmetic number, because the mean of its divisors is an integer number (745488).

Almost surely, 221311920 is an apocalyptic number.

21311920 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 21311920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29819520).

21311920 is an abundant number, since it is smaller than the sum of its proper divisors (38327120).

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

21311920 is a wasteful number, since it uses less digits than its factorization.

21311920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 21311920 is about 4616.4835102056. The cubic root of 21311920 is about 277.2516838248.

The spelling of 21311920 in words is "twenty-one million, three hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2003 2128 2660 4006 5320 8012 10015 10640 14021 16024 20030 28042 32048 38057 40060 56084 70105 76114 80120 112168 140210 152228 160240 190285 224336 266399 280420 304456 380570 532798 560840 608912 761140 1065596 1121680 1331995 1522280 2131192 2663990 3044560 4262384 5327980 10655960 21311920