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420420996 = 223331112517
BaseRepresentation
bin11001000011110…
…001110110000100
31002022002121012000
4121003301312010
51330111432441
6105415025300
713263343122
oct3103616604
91068077160
10420420996
111a6353576
12b896b230
1369141528
143db9c912
1526d992b6
hex190f1d84

420420996 has 48 divisors (see below), whose sum is σ = 1093572480. Its totient is φ = 139678560.

The previous prime is 420420991. The next prime is 420421009. The reversal of 420420996 is 699024024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420420996.

It is not an unprimeable number, because it can be changed into a prime (420420991) 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 15 ways as a sum of consecutive naturals, for example, 27330 + ... + 39846.

It is an arithmetic number, because the mean of its divisors is an integer number (22782760).

Almost surely, 2420420996 is an apocalyptic number.

It is an amenable number.

420420996 is an abundant number, since it is smaller than the sum of its proper divisors (673151484).

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

420420996 is a wasteful number, since it uses less digits than its factorization.

420420996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 420420996 is about 20504.1702099841. The cubic root of 420420996 is about 749.1373762207.

It can be divided in two parts, 4204 and 20996, that added together give a triangular number (25200 = T224).

The spelling of 420420996 in words is "four hundred twenty million, four hundred twenty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 311 622 933 1244 1866 2799 3732 5598 8397 11196 12517 16794 25034 33588 37551 50068 75102 112653 150204 225306 337959 450612 675918 1351836 3892787 7785574 11678361 15571148 23356722 35035083 46713444 70070166 105105249 140140332 210210498 420420996