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3115515040 = 255116432753
BaseRepresentation
bin1011100110110010…
…1111110010100000
322001010101120011221
42321230233302200
522340032440130
61233052144424
7140130304141
oct27154576240
98033346157
103115515040
111359699620
1272b468114
133a85cac31
14217ab5ac8
151337b087a
hexb9b2fca0

3115515040 has 96 divisors (see below), whose sum is σ = 8044940736. Its totient is φ = 1130741760.

The previous prime is 3115515017. The next prime is 3115515061. The reversal of 3115515040 is 405155113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3115514996 and 3115515014.

It is an unprimeable number.

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, 1130304 + ... + 1133056.

It is an arithmetic number, because the mean of its divisors is an integer number (83801466).

Almost surely, 23115515040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022470368).

3115515040 is an abundant number, since it is smaller than the sum of its proper divisors (4929425696).

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

3115515040 is a wasteful number, since it uses less digits than its factorization.

3115515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 3115515040 is about 55816.7989049892. The cubic root of 3115515040 is about 1460.5282132033.

The spelling of 3115515040 in words is "three billion, one hundred fifteen million, five hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 643 880 1286 1760 2572 2753 3215 5144 5506 6430 7073 10288 11012 12860 13765 14146 20576 22024 25720 27530 28292 30283 35365 44048 51440 55060 56584 60566 70730 88096 102880 110120 113168 121132 141460 151415 220240 226336 242264 282920 302830 440480 484528 565840 605660 969056 1131680 1211320 1770179 2422640 3540358 4845280 7080716 8850895 14161432 17701790 19471969 28322864 35403580 38943938 56645728 70807160 77887876 97359845 141614320 155775752 194719690 283228640 311551504 389439380 623103008 778878760 1557757520 3115515040