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20352120 = 2335315471
BaseRepresentation
bin100110110100…
…0110001111000
31102021222212020
41031220301320
520202231440
62004114440
7334663425
oct115506170
942258766
1020352120
1110540938
126995a20
1342a7799
1429bad4c
151bc03d0
hex1368c78

20352120 has 64 divisors (see below), whose sum is σ = 63037440. Its totient is φ = 5251200.

The previous prime is 20352119. The next prime is 20352127. The reversal of 20352120 is 2125302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20352120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20352127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (984960).

Almost surely, 220352120 is an apocalyptic number.

20352120 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 20352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31518720).

20352120 is an abundant number, since it is smaller than the sum of its proper divisors (42685320).

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

20352120 is a wasteful number, since it uses less digits than its factorization.

20352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20352120 is about 4511.3323974187. The cubic root of 20352120 is about 273.0255044669.

Adding to 20352120 its reverse (2125302), we get a palindrome (22477422).

The spelling of 20352120 in words is "twenty million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5471 10942 16413 21884 27355 32826 43768 54710 65652 82065 109420 131304 164130 169601 218840 328260 339202 508803 656520 678404 848005 1017606 1356808 1696010 2035212 2544015 3392020 4070424 5088030 6784040 10176060 20352120