Search a number
-
+
2594381400 = 2334521397127
BaseRepresentation
bin1001101010100011…
…0001111001011000
320200210210020020000
42122220301321120
520303130201100
61105234333000
7121201610112
oct23250617130
96623706200
102594381400
111111508166
12604a2a160
13324656730
141a87bc3b2
15102b70900
hex9aa31e58

2594381400 has 480 divisors, whose sum is σ = 9881034240. Its totient is φ = 627056640.

The previous prime is 2594381399. The next prime is 2594381473. The reversal of 2594381400 is 41834952.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20428137 + ... + 20428263.

It is an arithmetic number, because the mean of its divisors is an integer number (20585488).

Almost surely, 22594381400 is an apocalyptic number.

2594381400 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 2594381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940517120).

2594381400 is an abundant number, since it is smaller than the sum of its proper divisors (7286652840).

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

2594381400 is a wasteful number, since it uses less digits than its factorization.

2594381400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2594381400 is about 50935.0704328560. The cubic root of 2594381400 is about 1374.0776447798.

The spelling of 2594381400 in words is "two billion, five hundred ninety-four million, three hundred eighty-one thousand, four hundred".