Search a number
-
+
880094880 = 253257212473
BaseRepresentation
bin110100011101010…
…010111010100000
32021100001110012200
4310131102322200
53300301014010
6223155253200
730544453200
oct6435227240
92240043180
10880094880
11411877345
122068aa200
13110447502
1484c58400
15523e8cc0
hex34752ea0

880094880 has 216 divisors, whose sum is σ = 3493942452. Its totient is φ = 201148416.

The previous prime is 880094863. The next prime is 880094909. The reversal of 880094880 is 88490088.

It can be written as a sum of positive squares in 2 ways, for example, as 879241104 + 853776 = 29652^2 + 924^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64324 + ... + 76796.

Almost surely, 2880094880 is an apocalyptic number.

880094880 is a gapful number since it is divisible by the number (80) 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 880094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746971226).

880094880 is an abundant number, since it is smaller than the sum of its proper divisors (2613847572).

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

880094880 is a wasteful number, since it uses less digits than its factorization.

880094880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12508 (or 12490 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 880094880 is about 29666.3931073530. The cubic root of 880094880 is about 958.3184103200.

The spelling of 880094880 in words is "eight hundred eighty million, ninety-four thousand, eight hundred eighty".