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2730825080 = 23543236923
BaseRepresentation
bin1010001011000101…
…0001010101111000
321001022112021202122
42202301101111320
521043042400310
61130551020412
7124446426104
oct24261212570
97038467678
102730825080
111181530335
1264266a708
133469ba139
141bc978904
1510eb23555
hexa2c51578

2730825080 has 48 divisors (see below), whose sum is σ = 6290741880. Its totient is φ = 1066898112.

The previous prime is 2730825079. The next prime is 2730825091. The reversal of 2730825080 is 805280372.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2730825080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55499 + ... + 92421.

Almost surely, 22730825080 is an apocalyptic number.

2730825080 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 2730825080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145370940).

2730825080 is an abundant number, since it is smaller than the sum of its proper divisors (3559916800).

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

2730825080 is a wasteful number, since it uses less digits than its factorization.

2730825080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37020 (or 36973 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2730825080 is about 52257.2969067479. The cubic root of 2730825080 is about 1397.7557717260.

The spelling of 2730825080 in words is "two billion, seven hundred thirty million, eight hundred twenty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 1849 3698 7396 9245 14792 18490 36923 36980 73846 73960 147692 184615 295384 369230 738460 1476920 1587689 3175378 6350756 7938445 12701512 15876890 31753780 63507560 68270627 136541254 273082508 341353135 546165016 682706270 1365412540 2730825080