Search a number
-
+
21940320 = 2535431063
BaseRepresentation
bin101001110110…
…0100001100000
31112021200110110
41103230201200
521104042240
62102131320
7354326643
oct123544140
945250413
1021940320
11114260a6
127420b40
13471264c
142cb1a5a
151dd5c80
hex14ec860

21940320 has 96 divisors (see below), whose sum is σ = 70785792. Its totient is φ = 5709312.

The previous prime is 21940313. The next prime is 21940381. The reversal of 21940320 is 2304912.

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

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, 20109 + ... + 21171.

It is an arithmetic number, because the mean of its divisors is an integer number (737352).

Almost surely, 221940320 is an apocalyptic number.

21940320 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 21940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35392896).

21940320 is an abundant number, since it is smaller than the sum of its proper divisors (48845472).

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

21940320 is a wasteful number, since it uses less digits than its factorization.

21940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21940320 is about 4684.0495300541. The cubic root of 21940320 is about 279.9503313259.

The spelling of 21940320 in words is "twenty-one million, nine hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1063 1290 1376 1720 2064 2126 2580 3189 3440 4128 4252 5160 5315 6378 6880 8504 10320 10630 12756 15945 17008 20640 21260 25512 31890 34016 42520 45709 51024 63780 85040 91418 102048 127560 137127 170080 182836 228545 255120 274254 365672 457090 510240 548508 685635 731344 914180 1097016 1371270 1462688 1828360 2194032 2742540 3656720 4388064 5485080 7313440 10970160 21940320