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5104616340 = 22351913831163
BaseRepresentation
bin1001100000100001…
…00100001110010100
3111011202020101012110
410300100210032110
540423240210330
62202305351020
7240332344245
oct46020441624
914152211173
105104616340
11218a47189a
12ba5638470
1363472a655
14365d34ccc
151ed21ddb0
hex130424394

5104616340 has 96 divisors (see below), whose sum is σ = 14417657856. Its totient is φ = 1349407360.

The previous prime is 5104616327. The next prime is 5104616359. The reversal of 5104616340 is 436164015.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5104616298 and 5104616307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4388599 + ... + 4389761.

It is an arithmetic number, because the mean of its divisors is an integer number (150183936).

Almost surely, 25104616340 is an apocalyptic number.

It is an amenable number.

5104616340 is an abundant number, since it is smaller than the sum of its proper divisors (9313041516).

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

5104616340 is a wasteful number, since it uses less digits than its factorization.

5104616340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5104616340 is about 71446.5978196303. The cubic root of 5104616340 is about 1721.8198176283.

The spelling of 5104616340 in words is "five billion, one hundred four million, six hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 383 573 764 766 955 1146 1149 1163 1532 1910 1915 2292 2298 2326 2865 3489 3820 3830 4596 4652 5730 5745 5815 6978 7660 11460 11490 11630 13956 17445 22980 23260 34890 69780 73153 146306 219459 222133 292612 365765 438918 444266 445429 666399 731530 877836 888532 890858 1097295 1110665 1332798 1336287 1463060 1781716 2194590 2221330 2227145 2665596 2672574 3331995 4389180 4442660 4454290 5345148 6663990 6681435 8908580 13327980 13362870 26725740 85076939 170153878 255230817 340307756 425384695 510461634 850769390 1020923268 1276154085 1701538780 2552308170 5104616340