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3568297680 = 2432510149069
BaseRepresentation
bin1101010010101111…
…1110011011010000
3100012200101022012100
43110223332123100
524301441011210
61350025000400
7154266013143
oct32453763320
910180338170
103568297680
111571235952
12837023100
1344b36035c
1425bc9a05a
1515d3ed5c0
hexd4afe6d0

3568297680 has 120 divisors (see below), whose sum is σ = 12102428520. Its totient is φ = 942105600.

The previous prime is 3568297673. The next prime is 3568297709. The reversal of 3568297680 is 867928653.

It is a happy number.

3568297680 is a `hidden beast` number, since 3 + 568 + 2 + 9 + 76 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 242238096 + 3326059584 = 15564^2 + 57672^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 48186 + ... + 97254.

It is an arithmetic number, because the mean of its divisors is an integer number (100853571).

Almost surely, 23568297680 is an apocalyptic number.

3568297680 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 3568297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051214260).

3568297680 is an abundant number, since it is smaller than the sum of its proper divisors (8534130840).

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

3568297680 is a wasteful number, since it uses less digits than its factorization.

3568297680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49189 (or 49180 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3568297680 is about 59735.2298062040. The cubic root of 3568297680 is about 1528.1067444593.

The spelling of 3568297680 in words is "three billion, five hundred sixty-eight million, two hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 101 120 144 180 202 240 303 360 404 505 606 720 808 909 1010 1212 1515 1616 1818 2020 2424 3030 3636 4040 4545 4848 6060 7272 8080 9090 12120 14544 18180 24240 36360 49069 72720 98138 147207 196276 245345 294414 392552 441621 490690 588828 736035 785104 883242 981380 1177656 1472070 1766484 1962760 2208105 2355312 2944140 3532968 3925520 4416210 4955969 5888280 7065936 8832420 9911938 11776560 14867907 17664840 19823876 24779845 29735814 35329680 39647752 44603721 49559690 59471628 74339535 79295504 89207442 99119380 118943256 148679070 178414884 198238760 223018605 237886512 297358140 356829768 396477520 446037210 594716280 713659536 892074420 1189432560 1784148840 3568297680