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1051630812 = 2232174141911
BaseRepresentation
bin111110101011101…
…001110011011100
32201021211101021100
4332223221303130
54123204141222
6252204033100
735026500021
oct7653516334
92637741240
101051630812
1149a688881
12254232790
13139b4696b
149d94b548
15624ce4ac
hex3eae9cdc

1051630812 has 72 divisors (see below), whose sum is σ = 2883377952. Its totient is φ = 321868800.

The previous prime is 1051630751. The next prime is 1051630837. The reversal of 1051630812 is 2180361501.

1051630812 is a `hidden beast` number, since 10 + 5 + 1 + 630 + 8 + 12 = 666.

It is a super-2 number, since 2×10516308122 = 2211854729495558688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4137 + ... + 46047.

It is an arithmetic number, because the mean of its divisors is an integer number (40046916).

Almost surely, 21051630812 is an apocalyptic number.

1051630812 is a gapful number since it is divisible by the number (12) 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 1051630812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441688976).

1051630812 is an abundant number, since it is smaller than the sum of its proper divisors (1831747140).

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

1051630812 is a wasteful number, since it uses less digits than its factorization.

1051630812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41979 (or 41974 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1051630812 is about 32428.8577042115. The cubic root of 1051630812 is about 1016.9222914088.

It can be divided in two parts, 10516 and 30812, that added together give a triangular number (41328 = T287).

The spelling of 1051630812 in words is "one billion, fifty-one million, six hundred thirty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 25092 41911 83822 125733 167644 251466 377199 502932 712487 754398 1424974 1508796 1718351 2137461 2849948 3436702 4274922 5155053 6412383 6873404 8549844 10310106 12824766 15465159 20620212 25649532 29211967 30930318 58423934 61860636 87635901 116847868 175271802 262907703 350543604 525815406 1051630812