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3125004240 = 243538333997
BaseRepresentation
bin1011101001000011…
…1100011111010000
322001210020122220210
42322100330133100
522400000113430
61234031404120
7140304045351
oct27220743720
98053218823
103125004240
111363a8aa36
12732683640
133aa571147
14219065d28
151345372b0
hexba43c7d0

3125004240 has 80 divisors (see below), whose sum is σ = 9713092608. Its totient is φ = 831134208.

The previous prime is 3125004193. The next prime is 3125004257. The reversal of 3125004240 is 424005213.

3125004240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74922 + ... + 108918.

Almost surely, 23125004240 is an apocalyptic number.

3125004240 is a gapful number since it is divisible by the number (30) 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 3125004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856546304).

3125004240 is an abundant number, since it is smaller than the sum of its proper divisors (6588088368).

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

3125004240 is a wasteful number, since it uses less digits than its factorization.

3125004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34396 (or 34390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3125004240 is about 55901.7373611948. The cubic root of 3125004240 is about 1462.0095303240.

Adding to 3125004240 its reverse (424005213), we get a palindrome (3549009453).

The spelling of 3125004240 in words is "three billion, one hundred twenty-five million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 383 766 1149 1532 1915 2298 3064 3830 4596 5745 6128 7660 9192 11490 15320 18384 22980 30640 33997 45960 67994 91920 101991 135988 169985 203982 271976 339970 407964 509955 543952 679940 815928 1019910 1359880 1631856 2039820 2719760 4079640 8159280 13020851 26041702 39062553 52083404 65104255 78125106 104166808 130208510 156250212 195312765 208333616 260417020 312500424 390625530 520834040 625000848 781251060 1041668080 1562502120 3125004240