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20413344 = 253737821
BaseRepresentation
bin100110111011…
…1101110100000
31102102002211210
41031313232200
520211211334
62005310120
7335340060
oct115675640
942362753
1020413344
1110582936
126a05340
1342c9603
1429d53a0
151bd35e9
hex1377ba0

20413344 has 96 divisors (see below), whose sum is σ = 62971776. Its totient is φ = 5667840.

The previous prime is 20413331. The next prime is 20413357. The reversal of 20413344 is 44331402.

It is an interprime number because it is at equal distance from previous prime (20413331) and next prime (20413357).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×204133442 = 833409226524672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20413344.

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, 24454 + ... + 25274.

It is an arithmetic number, because the mean of its divisors is an integer number (655956).

Almost surely, 220413344 is an apocalyptic number.

20413344 is a gapful number since it is divisible by the number (24) 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 20413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31485888).

20413344 is an abundant number, since it is smaller than the sum of its proper divisors (42558432).

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

20413344 is a wasteful number, since it uses less digits than its factorization.

20413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 20413344 is about 4518.1128803960. The cubic root of 20413344 is about 273.2990055376.

Adding to 20413344 its reverse (44331402), we get a palindrome (64744746).

The spelling of 20413344 in words is "twenty million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 821 888 1036 1184 1554 1642 1776 2072 2463 3108 3284 3552 4144 4926 5747 6216 6568 8288 9852 11494 12432 13136 17241 19704 22988 24864 26272 30377 34482 39408 45976 60754 68964 78816 91131 91952 121508 137928 182262 183904 212639 243016 275856 364524 425278 486032 551712 637917 729048 850556 972064 1275834 1458096 1701112 2551668 2916192 3402224 5103336 6804448 10206672 20413344