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21000640 = 265293173
BaseRepresentation
bin101000000011…
…1000111000000
31110111221110111
41100013013000
520334010030
62030041104
7343334233
oct120070700
943457414
1021000640
1110944101
127049194
134473a1b
142b0941a
151c9c62a
hex14071c0

21000640 has 112 divisors (see below), whose sum is σ = 54132480. Its totient is φ = 7741440.

The previous prime is 21000613. The next prime is 21000673. The reversal of 21000640 is 4600012.

21000640 is nontrivially palindromic in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 21000640.

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, 287644 + ... + 287716.

Almost surely, 221000640 is an apocalyptic number.

21000640 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 21000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27066240).

21000640 is an abundant number, since it is smaller than the sum of its proper divisors (33131840).

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

21000640 is a wasteful number, since it uses less digits than its factorization.

21000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 21000640 is about 4582.6455241487. The cubic root of 21000640 is about 275.8952203263.

Adding to 21000640 its reverse (4600012), we get a palindrome (25600652).

The spelling of 21000640 in words is "twenty-one million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 64 73 80 116 124 145 146 155 160 232 248 290 292 310 320 365 464 496 580 584 620 730 899 928 992 1160 1168 1240 1460 1798 1856 1984 2117 2263 2320 2336 2480 2920 3596 4234 4495 4526 4640 4672 4960 5840 7192 8468 8990 9052 9280 9920 10585 11315 11680 14384 16936 17980 18104 21170 22630 23360 28768 33872 35960 36208 42340 45260 57536 65627 67744 71920 72416 84680 90520 131254 135488 143840 144832 169360 181040 262508 287680 328135 338720 362080 525016 656270 677440 724160 1050032 1312540 2100064 2625080 4200128 5250160 10500320 21000640