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3130265840 = 245134369997
BaseRepresentation
bin1011101010010100…
…0001000011110000
322002011010222110212
42322211001003300
522402322001330
61234340243252
7140366551322
oct27245010360
98064128425
103130265840
111366a54069
127343a0528
133ab694010
14219a35612
15134c26295
hexba9410f0

3130265840 has 80 divisors (see below), whose sum is σ = 8020090848. Its totient is φ = 1128895488.

The previous prime is 3130265837. The next prime is 3130265851. The reversal of 3130265840 is 485620313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3130265797 and 3130265806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9722 + ... + 79718.

Almost surely, 23130265840 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 3130265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010045424).

3130265840 is an abundant number, since it is smaller than the sum of its proper divisors (4889825008).

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

3130265840 is a wasteful number, since it uses less digits than its factorization.

3130265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70066 (or 70060 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3130265840 is about 55948.7787176807. The cubic root of 3130265840 is about 1462.8296034578.

The spelling of 3130265840 in words is "three billion, one hundred thirty million, two hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1720 2236 2795 3440 4472 5590 8944 11180 22360 44720 69997 139994 279988 349985 559976 699970 909961 1119952 1399940 1819922 2799880 3009871 3639844 4549805 5599760 6019742 7279688 9099610 12039484 14559376 15049355 18199220 24078968 30098710 36398440 39128323 48157936 60197420 72796880 78256646 120394840 156513292 195641615 240789680 313026584 391283230 626053168 782566460 1565132920 3130265840