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21716720 = 2454359107
BaseRepresentation
bin101001011010…
…1111011110000
31111212022201222
41102311323300
521024413340
62053244212
7352406024
oct122657360
944768658
1021716720
1111293103
127333668
13466493c
142c54384
151d8e8b5
hex14b5ef0

21716720 has 80 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 8262912.

The previous prime is 21716713. The next prime is 21716729. The reversal of 21716720 is 2761712.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21716720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21716729) 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, 202907 + ... + 203013.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 221716720 is an apocalyptic number.

21716720 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 21716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

21716720 is an abundant number, since it is smaller than the sum of its proper divisors (31315600).

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

21716720 is a wasteful number, since it uses less digits than its factorization.

21716720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 21716720 is about 4660.1201701244. The cubic root of 21716720 is about 278.9960645720.

The spelling of 21716720 in words is "twenty-one million, seven hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 59 80 86 107 118 172 214 215 236 295 344 428 430 472 535 590 688 856 860 944 1070 1180 1712 1720 2140 2360 2537 3440 4280 4601 4720 5074 6313 8560 9202 10148 12626 12685 18404 20296 23005 25252 25370 31565 36808 40592 46010 50504 50740 63130 73616 92020 101008 101480 126260 184040 202960 252520 271459 368080 505040 542918 1085836 1357295 2171672 2714590 4343344 5429180 10858360 21716720