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2931890130 = 23251315832
BaseRepresentation
bin1010111011000001…
…0001011111010010
321120022212110011100
42232300101133102
522001030441010
61202532325230
7132440440431
oct25660213722
97508773140
102931890130
111274a804a4
12699a73816
13379558140
141db557118
151225dd2c0
hexaec117d2

2931890130 has 72 divisors (see below), whose sum is σ = 8214481548. Its totient is φ = 721240128.

The previous prime is 2931890099. The next prime is 2931890147. The reversal of 2931890130 is 310981392.

2931890130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2728913121 + 202977009 = 52239^2 + 14247^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1851319 + ... + 1852901.

Almost surely, 22931890130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2931890130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107240774).

2931890130 is an abundant number, since it is smaller than the sum of its proper divisors (5282591418).

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

2931890130 is a wasteful number, since it uses less digits than its factorization.

2931890130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 2931890130 is about 54146.9309379581. The cubic root of 2931890130 is about 1431.2513099026.

The spelling of 2931890130 in words is "two billion, nine hundred thirty-one million, eight hundred ninety thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1583 3166 4749 7915 9498 14247 15830 20579 23745 28494 41158 47490 61737 71235 102895 123474 142470 185211 205790 308685 370422 617370 926055 1852110 2505889 5011778 7517667 12529445 15035334 22553001 25058890 32576557 37588335 45106002 65153114 75176670 97729671 112765005 162882785 195459342 225530010 293189013 325765570 488648355 586378026 977296710 1465945065 2931890130