Search a number
-
+
2702380032 = 2103211192361
BaseRepresentation
bin1010000100010011…
…0000110000000000
320222100000010111100
42201010300300000
521013302130112
61124053214400
7123652564662
oct24104606000
96870003440
102702380032
111167472130
12635031400
13340b3ab51
141b8c92532
1510c3a52dc
hexa1130c00

2702380032 has 528 divisors, whose sum is σ = 9503320320. Its totient is φ = 729907200.

The previous prime is 2702380007. The next prime is 2702380049. The reversal of 2702380032 is 2300832072.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 2702379978 and 2702380005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44301282 + ... + 44301342.

Almost surely, 22702380032 is an apocalyptic number.

2702380032 is a gapful number since it is divisible by the number (22) 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 2702380032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751660160).

2702380032 is an abundant number, since it is smaller than the sum of its proper divisors (6800940288).

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

2702380032 is a wasteful number, since it uses less digits than its factorization.

2702380032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2702380032 is about 51984.4210509264. The cubic root of 2702380032 is about 1392.8856828821.

The spelling of 2702380032 in words is "two billion, seven hundred two million, three hundred eighty thousand, thirty-two".