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5660726800 = 2452611012297
BaseRepresentation
bin1010100010110011…
…11101011000010000
3112121111122201100011
411101121331120100
543043121224200
62333413004304
7260164245451
oct52131753020
915544581304
105660726800
112445372913
12111b923694
136c29ca1b1
143b9b35128
15231e6c5ba
hex15167d610

5660726800 has 120 divisors (see below), whose sum is σ = 13965782472. Its totient is φ = 2204160000.

The previous prime is 5660726777. The next prime is 5660726831. The reversal of 5660726800 is 86270665.

It can be written as a sum of positive squares in 12 ways, for example, as 1589776384 + 4070950416 = 39872^2 + 63804^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2463252 + ... + 2465548.

Almost surely, 25660726800 is an apocalyptic number.

5660726800 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 5660726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982891236).

5660726800 is an abundant number, since it is smaller than the sum of its proper divisors (8305055672).

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

5660726800 is a wasteful number, since it uses less digits than its factorization.

5660726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 5660726800 is about 75237.8016691078. The cubic root of 5660726800 is about 1782.2039358599.

The spelling of 5660726800 in words is "five billion, six hundred sixty million, seven hundred twenty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 101 122 200 202 244 305 400 404 488 505 610 808 976 1010 1220 1525 1616 2020 2297 2440 2525 3050 4040 4594 4880 5050 6100 6161 8080 9188 10100 11485 12200 12322 18376 20200 22970 24400 24644 30805 36752 40400 45940 49288 57425 61610 91880 98576 114850 123220 140117 154025 183760 229700 231997 246440 280234 308050 459400 463994 492880 560468 616100 700585 918800 927988 1120936 1159985 1232200 1401170 1855976 2241872 2319970 2464400 2802340 3502925 3711952 4639940 5604680 5799925 7005850 9279880 11209360 11599850 14011700 14151817 18559760 23199700 28023400 28303634 46399400 56046800 56607268 70759085 92798800 113214536 141518170 226429072 283036340 353795425 566072680 707590850 1132145360 1415181700 2830363400 5660726800