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5660056000 = 26531036869
BaseRepresentation
bin1010100010101110…
…11001100111000000
3112121110101122011201
411101113121213000
543042433243000
62333350350544
7260155452664
oct52127314700
915543348151
105660056000
112444a54935
12111b65b454
136c2823a81
143b99dc8a4
15231d8896a
hex1515d99c0

5660056000 has 112 divisors (see below), whose sum is σ = 14155277760. Its totient is φ = 2241715200.

The previous prime is 5660055959. The next prime is 5660056001. The reversal of 5660056000 is 6500665.

It is a self number, because there is not a number n which added to its sum of digits gives 5660056000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660056001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820566 + ... + 827434.

Almost surely, 25660056000 is an apocalyptic number.

5660056000 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 5660056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077638880).

5660056000 is an abundant number, since it is smaller than the sum of its proper divisors (8495221760).

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

5660056000 is a wasteful number, since it uses less digits than its factorization.

5660056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6999 (or 6979 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 5660056000 is about 75233.3436715397. The cubic root of 5660056000 is about 1782.1335356169.

Adding to 5660056000 its reverse (6500665), we get a palindrome (5666556665).

The spelling of 5660056000 in words is "five billion, six hundred sixty million, fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 125 160 200 206 250 320 400 412 500 515 800 824 1000 1030 1600 1648 2000 2060 2575 3296 4000 4120 5150 6592 6869 8000 8240 10300 12875 13738 16480 20600 25750 27476 32960 34345 41200 51500 54952 68690 82400 103000 109904 137380 164800 171725 206000 219808 274760 343450 412000 439616 549520 686900 707507 824000 858625 1099040 1373800 1415014 1717250 2198080 2747600 2830028 3434500 3537535 5495200 5660056 6869000 7075070 10990400 11320112 13738000 14150140 17687675 22640224 27476000 28300280 35375350 45280448 54952000 56600560 70750700 88438375 113201120 141501400 176876750 226402240 283002800 353753500 566005600 707507000 1132011200 1415014000 2830028000 5660056000