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21293440 = 2757397
BaseRepresentation
bin101000100111…
…0100110000000
31111001211002221
41101032212000
520422342230
62040220424
7345664000
oct121164600
944054087
1021293440
1111024093
12716a714
13454708c
142b84000
151d0927a
hex144e980

21293440 has 128 divisors (see below), whose sum is σ = 59976000. Its totient is φ = 7225344.

The previous prime is 21293431. The next prime is 21293483. The reversal of 21293440 is 4439212.

It is a tau number, because it is divible by the number of its divisors (128).

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, 219472 + ... + 219568.

Almost surely, 221293440 is an apocalyptic number.

21293440 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 21293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29988000).

21293440 is an abundant number, since it is smaller than the sum of its proper divisors (38682560).

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

21293440 is an frugal number, since it uses more digits than its factorization.

21293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 21293440 is about 4614.4815526774. The cubic root of 21293440 is about 277.1715237898.

The spelling of 21293440 in words is "twenty-one million, two hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 97 98 112 128 140 160 194 196 224 245 280 320 343 388 392 448 485 490 560 640 679 686 776 784 896 970 980 1120 1358 1372 1552 1568 1715 1940 1960 2240 2716 2744 3104 3136 3395 3430 3880 3920 4480 4753 5432 5488 6208 6272 6790 6860 7760 7840 9506 10864 10976 12416 13580 13720 15520 15680 19012 21728 21952 23765 27160 27440 31040 31360 33271 38024 43456 43904 47530 54320 54880 62080 66542 76048 86912 95060 108640 109760 133084 152096 166355 190120 217280 219520 266168 304192 332710 380240 434560 532336 608384 665420 760480 1064672 1330840 1520960 2129344 2661680 3041920 4258688 5323360 10646720 21293440