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21293760 = 263541541
BaseRepresentation
bin101000100111…
…0101011000000
31111001211112210
41101032223000
520422400020
62040222120
7345664635
oct121165300
944054483
1021293760
1111024354
12716a940
134547277
142b8418c
151d093e0
hex144eac0

21293760 has 112 divisors (see below), whose sum is σ = 69384672. Its totient is φ = 5529600.

The previous prime is 21293747. The next prime is 21293761. The reversal of 21293760 is 6739212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21293761) 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, 39090 + ... + 39630.

It is an arithmetic number, because the mean of its divisors is an integer number (619506).

Almost surely, 221293760 is an apocalyptic number.

21293760 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 21293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34692336).

21293760 is an abundant number, since it is smaller than the sum of its proper divisors (48090912).

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

21293760 is a wasteful number, since it uses less digits than its factorization.

21293760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 21293760 is about 4614.5162259981. The cubic root of 21293760 is about 277.1729122368.

The spelling of 21293760 in words is "twenty-one million, two hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 541 615 656 820 960 984 1082 1230 1312 1623 1640 1968 2164 2460 2624 2705 3246 3280 3936 4328 4920 5410 6492 6560 7872 8115 8656 9840 10820 12984 13120 16230 17312 19680 21640 22181 25968 32460 34624 39360 43280 44362 51936 64920 66543 86560 88724 103872 110905 129840 133086 173120 177448 221810 259680 266172 332715 354896 443620 519360 532344 665430 709792 887240 1064688 1330860 1419584 1774480 2129376 2661720 3548960 4258752 5323440 7097920 10646880 21293760