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5640613000 = 2353113713859
BaseRepresentation
bin1010100000011010…
…01110110010001000
3112120002210211101121
411100031032302020
543022444104000
62331413525024
7256531263601
oct52015166210
915502724347
105640613000
112434a85040
121115043774
136bb7a7039
143b71bada8
152302e7b1a
hex15034ec88

5640613000 has 128 divisors (see below), whose sum is σ = 14789174400. Its totient is φ = 1995552000.

The previous prime is 5640612959. The next prime is 5640613057. The reversal of 5640613000 is 3160465.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 400071 + ... + 413929.

It is an arithmetic number, because the mean of its divisors is an integer number (115540425).

Almost surely, 25640613000 is an apocalyptic number.

5640613000 is a gapful number since it is divisible by the number (50) 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 5640613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394587200).

5640613000 is an abundant number, since it is smaller than the sum of its proper divisors (9148561400).

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

5640613000 is a wasteful number, since it uses less digits than its factorization.

5640613000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 5640613000 is about 75104.0145398367. The cubic root of 5640613000 is about 1780.0905773880.

Adding to 5640613000 its reverse (3160465), we get a palindrome (5643773465).

The spelling of 5640613000 in words is "five billion, six hundred forty million, six hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 37 40 44 50 55 74 88 100 110 125 148 185 200 220 250 275 296 370 407 440 500 550 740 814 925 1000 1100 1375 1480 1628 1850 2035 2200 2750 3256 3700 4070 4625 5500 7400 8140 9250 10175 11000 13859 16280 18500 20350 27718 37000 40700 50875 55436 69295 81400 101750 110872 138590 152449 203500 277180 304898 346475 407000 512783 554360 609796 692950 762245 1025566 1219592 1385900 1524490 1732375 2051132 2563915 2771800 3048980 3464750 3811225 4102264 5127830 5640613 6097960 6929500 7622450 10255660 11281226 12819575 13859000 15244900 19056125 20511320 22562452 25639150 28203065 30489800 38112250 45124904 51278300 56406130 64097875 76224500 102556600 112812260 128195750 141015325 152449000 225624520 256391500 282030650 512783000 564061300 705076625 1128122600 1410153250 2820306500 5640613000