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1015008930 = 232513266733
BaseRepresentation
bin111100011111111…
…100111010100010
32121201220210111100
4330133330322202
54034320241210
6244415055230
734103301465
oct7437747242
92551823440
101015008930
11480a45261
12243b11516
13132393900
1498b372dc
155e1985c0
hex3c7fcea2

1015008930 has 72 divisors (see below), whose sum is σ = 2857683348. Its totient is φ = 249844608.

The previous prime is 1015008877. The next prime is 1015008977. The reversal of 1015008930 is 398005101.

It can be written as a sum of positive squares in 6 ways, for example, as 387656721 + 627352209 = 19689^2 + 25047^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1015008894 and 1015008903.

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 35 ways as a sum of consecutive naturals, for example, 18157 + ... + 48576.

Almost surely, 21015008930 is an apocalyptic number.

1015008930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1015008930 is an abundant number, since it is smaller than the sum of its proper divisors (1842674418).

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

1015008930 is a wasteful number, since it uses less digits than its factorization.

1015008930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66772 (or 66756 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1015008930 is about 31859.2047923359. The cubic root of 1015008930 is about 1004.9781535312.

The spelling of 1015008930 in words is "one billion, fifteen million, eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 66733 133466 200199 333665 400398 600597 667330 867529 1000995 1201194 1735058 2001990 2602587 3002985 4337645 5205174 6005970 7807761 8675290 11277877 13012935 15615522 22555754 26025870 33833631 39038805 56389385 67667262 78077610 101500893 112778770 169168155 203001786 338336310 507504465 1015008930