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2680471300 = 22521317911519
BaseRepresentation
bin1001111111000100…
…1011111100000100
320220210210001100211
42133301023330010
520442200040200
61121551445204
7123265426063
oct23761137404
96823701324
102680471300
111156068841
12629826804
133394399c0
141b5dcc1da
1510a4c8aba
hex9fc4bf04

2680471300 has 72 divisors (see below), whose sum is σ = 6299596800. Its totient is φ = 984097920.

The previous prime is 2680471291. The next prime is 2680471301. The reversal of 2680471300 is 31740862.

It is not an unprimeable number, because it can be changed into a prime (2680471301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226941 + ... + 238459.

It is an arithmetic number, because the mean of its divisors is an integer number (87494400).

Almost surely, 22680471300 is an apocalyptic number.

2680471300 is a gapful number since it is divisible by the number (20) 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 2680471300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

2680471300 is an abundant number, since it is smaller than the sum of its proper divisors (3619125500).

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

2680471300 is a wasteful number, since it uses less digits than its factorization.

2680471300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11725 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2680471300 is about 51773.2681989461. The cubic root of 2680471300 is about 1389.1113309381. Note that the first 3 decimals are identical.

The spelling of 2680471300 in words is "two billion, six hundred eighty million, four hundred seventy-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 179 260 325 358 650 716 895 1300 1790 2327 3580 4475 4654 8950 9308 11519 11635 17900 23038 23270 46076 46540 57595 58175 115190 116350 149747 230380 232700 287975 299494 575950 598988 748735 1151900 1497470 2061901 2994940 3743675 4123802 7487350 8247604 10309505 14974700 20619010 26804713 41238020 51547525 53609426 103095050 107218852 134023565 206190100 268047130 536094260 670117825 1340235650 2680471300