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20412160 = 28537431
BaseRepresentation
bin100110111011…
…1011100000000
31102102001012221
41031313130000
520211142120
62005300424
7335333446
oct115673400
942361187
1020412160
1110581a5a
126a04714
1342c8c02
1429d4b96
151bd30aa
hex1377700

20412160 has 72 divisors (see below), whose sum is σ = 50331456. Its totient is φ = 7925760.

The previous prime is 20412157. The next prime is 20412163. The reversal of 20412160 is 6121402.

It is an interprime number because it is at equal distance from previous prime (20412157) and next prime (20412163).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47145 + ... + 47575.

It is an arithmetic number, because the mean of its divisors is an integer number (699048).

Almost surely, 220412160 is an apocalyptic number.

20412160 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 20412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165728).

20412160 is an abundant number, since it is smaller than the sum of its proper divisors (29919296).

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

20412160 is an equidigital number, since it uses as much as digits as its factorization.

20412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20412160 is about 4517.9818503398. The cubic root of 20412160 is about 273.2937215384.

Adding to 20412160 its reverse (6121402), we get a palindrome (26533562).

The spelling of 20412160 in words is "twenty million, four hundred twelve thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 431 592 640 740 862 1184 1280 1480 1724 2155 2368 2960 3448 4310 4736 5920 6896 8620 9472 11840 13792 15947 17240 23680 27584 31894 34480 47360 55168 63788 68960 79735 110336 127576 137920 159470 255152 275840 318940 510304 551680 637880 1020608 1275760 2041216 2551520 4082432 5103040 10206080 20412160