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63252420 = 223571113691
BaseRepresentation
bin1111000101001…
…0011111000100
311102000120000020
43301102133010
5112143034140
610135415140
71365431250
oct361223704
9142016006
1063252420
1132782530
12192244b0
131014848a
148587260
1558466d0
hex3c527c4

63252420 has 96 divisors (see below), whose sum is σ = 220824576. Its totient is φ = 13142400.

The previous prime is 63252401. The next prime is 63252421. The reversal of 63252420 is 2425236.

63252420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63252421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2226 + ... + 11465.

It is an arithmetic number, because the mean of its divisors is an integer number (2300256).

Almost surely, 263252420 is an apocalyptic number.

63252420 is a gapful number since it is divisible by the number (60) 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 63252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110412288).

63252420 is an abundant number, since it is smaller than the sum of its proper divisors (157572156).

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

63252420 is a wasteful number, since it uses less digits than its factorization.

63252420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 63252420 is about 7953.1390029346. The cubic root of 63252420 is about 398.4364378134.

Adding to 63252420 its reverse (2425236), we get a palindrome (65677656).

The spelling of 63252420 in words is "sixty-three million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 13691 27382 41073 54764 68455 82146 95837 136910 150601 164292 191674 205365 273820 287511 301202 383348 410730 451803 479185 575022 602404 753005 821460 903606 958370 1054207 1150044 1437555 1506010 1807212 1916740 2108414 2259015 2875110 3012020 3162621 4216828 4518030 5271035 5750220 6325242 9036060 10542070 12650484 15813105 21084140 31626210 63252420