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21404260 = 22519233179
BaseRepresentation
bin101000110100…
…1101001100100
31111021110010101
41101221221210
520434414020
62042433444
7346635043
oct121515144
944243111
1021404260
111109a379
127202884
134585657
142bb255a
151d2c00a
hex1469a64

21404260 has 96 divisors (see below), whose sum is σ = 51609600. Its totient is φ = 7413120.

The previous prime is 21404213. The next prime is 21404263. The reversal of 21404260 is 6240412.

21404260 = T3776 + T3777 + T3778.

It is a super-2 number, since 2×214042602 = 916284692295200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (21404263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270901 + ... + 270979.

It is an arithmetic number, because the mean of its divisors is an integer number (537600).

Almost surely, 221404260 is an apocalyptic number.

21404260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21404260 is the 3778-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21404260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804800).

21404260 is an abundant number, since it is smaller than the sum of its proper divisors (30205340).

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

21404260 is a wasteful number, since it uses less digits than its factorization.

21404260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 21404260 is about 4626.4738192278. The cubic root of 21404260 is about 277.6515310162.

Multiplying 21404260 by its sum of digits (19), we get a triangular number (406680940 = T28519).

Adding to 21404260 its reverse (6240412), we get a palindrome (27644672).

It can be divided in two parts, 2140 and 4260, that added together give a square (6400 = 802).

The spelling of 21404260 in words is "twenty-one million, four hundred four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 23 31 38 46 62 76 79 92 95 115 124 155 158 190 230 310 316 380 395 437 460 589 620 713 790 874 1178 1426 1501 1580 1748 1817 2185 2356 2449 2852 2945 3002 3565 3634 4370 4898 5890 6004 7130 7268 7505 8740 9085 9796 11780 12245 13547 14260 15010 18170 24490 27094 30020 34523 36340 46531 48980 54188 56327 67735 69046 93062 112654 135470 138092 172615 186124 225308 232655 270940 281635 345230 465310 563270 690460 930620 1070213 1126540 2140426 4280852 5351065 10702130 21404260