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21375420 = 223511139233
BaseRepresentation
bin101000110001…
…0100110111100
31111012222120020
41101202212330
520433003140
62042052140
7346455003
oct121424674
944188506
1021375420
111107a740
1271aa050
1345754a1
142ba5c3a
151d236d0
hex14629bc

21375420 has 96 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5122560.

The previous prime is 21375413. The next prime is 21375439. The reversal of 21375420 is 2457312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91624 + ... + 91856.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 221375420 is an apocalyptic number.

21375420 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 21375420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

21375420 is an abundant number, since it is smaller than the sum of its proper divisors (44668740).

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

21375420 is a wasteful number, since it uses less digits than its factorization.

21375420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 21375420 is about 4623.3559240015. The cubic root of 21375420 is about 277.5267728410.

It can be divided in two parts, 2137 and 5420, that added together give a palindrome (7557).

The spelling of 21375420 in words is "twenty-one million, three hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 139 165 220 233 278 330 417 466 556 660 695 699 834 932 1165 1390 1398 1529 1668 2085 2330 2563 2780 2796 3058 3495 4170 4587 4660 5126 6116 6990 7645 7689 8340 9174 10252 12815 13980 15290 15378 18348 22935 25630 30580 30756 32387 38445 45870 51260 64774 76890 91740 97161 129548 153780 161935 194322 323870 356257 388644 485805 647740 712514 971610 1068771 1425028 1781285 1943220 2137542 3562570 4275084 5343855 7125140 10687710 21375420