Search a number
-
+
2604026880 = 21035571323
BaseRepresentation
bin1001101100110110…
…0100110000000000
320201110221021100000
42123031210300000
520313112330010
61110221200000
7121346602050
oct23315446000
96643837300
102604026880
1111169a5a34
12608100000
13326652b10
141a9bad560
151039287c0
hex9b364c00

2604026880 has 1056 divisors, whose sum is σ = 12017101824. Its totient is φ = 525533184.

The previous prime is 2604026851. The next prime is 2604026897. The reversal of 2604026880 is 886204062.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218549 + ... + 113218571.

Almost surely, 22604026880 is an apocalyptic number.

2604026880 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 2604026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008550912).

2604026880 is an abundant number, since it is smaller than the sum of its proper divisors (9413074944).

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

2604026880 is a wasteful number, since it uses less digits than its factorization.

2604026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2604026880 is about 51029.6666655780. Note that the first 5 decimals coincide. The cubic root of 2604026880 is about 1375.7784031108.

The spelling of 2604026880 in words is "two billion, six hundred four million, twenty-six thousand, eight hundred eighty".