Search a number
-
+
21372960 = 253576361
BaseRepresentation
bin101000110001…
…0000000100000
31111012212012010
41101202000200
520432413320
62042032520
7346444560
oct121420040
944185163
1021372960
1111078904
1271a8740
13457432b
142ba4da0
151d22ae0
hex1462020

21372960 has 96 divisors (see below), whose sum is σ = 76954752. Its totient is φ = 4884480.

The previous prime is 21372937. The next prime is 21372977. The reversal of 21372960 is 6927312.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 180 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (801612).

Almost surely, 221372960 is an apocalyptic number.

21372960 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 21372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38477376).

21372960 is an abundant number, since it is smaller than the sum of its proper divisors (55581792).

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

21372960 is a wasteful number, since it uses less digits than its factorization.

21372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6378 counting only the distinct ones).

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

The square root of 21372960 is about 4623.0898758298. The cubic root of 21372960 is about 277.5161260006.

The spelling of 21372960 in words is "twenty-one million, three hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6361 12722 19083 25444 31805 38166 44527 50888 63610 76332 89054 95415 101776 127220 133581 152664 178108 190830 203552 222635 254440 267162 305328 356216 381660 445270 508880 534324 610656 667905 712432 763320 890540 1017760 1068648 1335810 1424864 1526640 1781080 2137296 2671620 3053280 3562160 4274592 5343240 7124320 10686480 21372960