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10485420 = 22351115887
BaseRepresentation
bin100111111111…
…111010101100
3201201201021220
4213333322230
510141013140
61012423340
7155060511
oct47777254
921651256
1010485420
115a11940
123617b50
1322317ba
14156d308
15dc1bd0
hex9ffeac

10485420 has 48 divisors (see below), whose sum is σ = 32030208. Its totient is φ = 2541760.

The previous prime is 10485407. The next prime is 10485427. The reversal of 10485420 is 2458401.

It is not an unprimeable number, because it can be changed into a prime (10485427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7284 + ... + 8603.

It is an arithmetic number, because the mean of its divisors is an integer number (667296).

Almost surely, 210485420 is an apocalyptic number.

10485420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10485420 is an abundant number, since it is smaller than the sum of its proper divisors (21544788).

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

10485420 is a wasteful number, since it uses less digits than its factorization.

10485420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15910 (or 15908 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10485420 is about 3238.1198248366. The cubic root of 10485420 is about 218.8745554597.

The spelling of 10485420 in words is "ten million, four hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15887 31774 47661 63548 79435 95322 158870 174757 190644 238305 317740 349514 476610 524271 699028 873785 953220 1048542 1747570 2097084 2621355 3495140 5242710 10485420