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21258240 = 21335173
BaseRepresentation
bin101000100011…
…0000000000000
31111000000211020
41101012000000
520420230430
62035345440
7345456243
oct121060000
944000736
1021258240
1110aaa6a3
127152280
134534053
142b7525a
151cedb10
hex1446000

21258240 has 112 divisors (see below), whose sum is σ = 68415408. Its totient is φ = 5636096.

The previous prime is 21258199. The next prime is 21258253. The reversal of 21258240 is 4285212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21258240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122794 + ... + 122966.

Almost surely, 221258240 is an apocalyptic number.

21258240 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 21258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34207704).

21258240 is an abundant number, since it is smaller than the sum of its proper divisors (47157168).

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

21258240 is an equidigital number, since it uses as much as digits as its factorization.

21258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 21258240 is about 4610.6658955079. The cubic root of 21258240 is about 277.0187096105.

The spelling of 21258240 in words is "twenty-one million, two hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 173 192 240 256 320 346 384 480 512 519 640 692 768 865 960 1024 1038 1280 1384 1536 1730 1920 2048 2076 2560 2595 2768 3072 3460 3840 4096 4152 5120 5190 5536 6144 6920 7680 8192 8304 10240 10380 11072 12288 13840 15360 16608 20480 20760 22144 24576 27680 30720 33216 40960 41520 44288 55360 61440 66432 83040 88576 110720 122880 132864 166080 177152 221440 265728 332160 354304 442880 531456 664320 708608 885760 1062912 1328640 1417216 1771520 2125824 2657280 3543040 4251648 5314560 7086080 10629120 21258240