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2130712824 = 2332329133103
BaseRepresentation
bin111111100000000…
…0001100011111000
312111111022102111210
41333000001203320
513330430302244
6551232323120
7103541521512
oct17700014370
95444272453
102130712824
119a3806099
124b56a34a0
1327c582426
14162da2bb2
15c70d24b9
hex7f0018f8

2130712824 has 64 divisors (see below), whose sum is σ = 5750092800. Its totient is φ = 655926656.

The previous prime is 2130712817. The next prime is 2130712849. The reversal of 2130712824 is 4282170312.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2130712791 and 2130712800.

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, 50544 + ... + 82559.

It is an arithmetic number, because the mean of its divisors is an integer number (89845200).

Almost surely, 22130712824 is an apocalyptic number.

2130712824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130712824 is an abundant number, since it is smaller than the sum of its proper divisors (3619379976).

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

2130712824 is a wasteful number, since it uses less digits than its factorization.

2130712824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133164 (or 133160 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2130712824 is about 46159.6449726382. The cubic root of 2130712824 is about 1286.7918647655.

The spelling of 2130712824 in words is "two billion, one hundred thirty million, seven hundred twelve thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008 133103 266206 399309 532412 798618 1064824 1597236 3061369 3194472 3859987 6122738 7719974 9184107 11579961 12245476 15439948 18368214 23159922 24490952 30879896 36736428 46319844 73472856 88779701 92639688 177559402 266339103 355118804 532678206 710237608 1065356412 2130712824