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1010016924 = 223718166431
BaseRepresentation
bin111100001100111…
…010001010011100
32121101112011202020
4330030322022130
54032031020144
6244120100140
734013000520
oct7414721234
92541464666
101010016924
11479145734
12242304650
13131336667
14981d7d80
155da0e419
hex3c33a29c

1010016924 has 48 divisors (see below), whose sum is σ = 2708299776. Its totient is φ = 286977600.

The previous prime is 1010016863. The next prime is 1010016941. The reversal of 1010016924 is 4296100101.

1010016924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010016894 and 1010016903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18012 + ... + 48419.

It is an arithmetic number, because the mean of its divisors is an integer number (56422912).

Almost surely, 21010016924 is an apocalyptic number.

1010016924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1010016924 is an abundant number, since it is smaller than the sum of its proper divisors (1698282852).

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

1010016924 is a wasteful number, since it uses less digits than its factorization.

1010016924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66626 (or 66624 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1010016924 is about 31780.7634269537. The cubic root of 1010016924 is about 1003.3278875459.

The spelling of 1010016924 in words is "one billion, ten million, sixteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 1086 1267 2172 2534 3801 5068 7602 15204 66431 132862 199293 265724 398586 465017 797172 930034 1395051 1860068 2790102 5580204 12024011 24048022 36072033 48096044 72144066 84168077 144288132 168336154 252504231 336672308 505008462 1010016924