Search a number
-
+
2536074240 = 210357103229
BaseRepresentation
bin1001011100101001…
…0110110000000000
320112202001220211120
42113022112300000
520143213333430
61055352512240
7116563163310
oct22712266000
96482056746
102536074240
111091603127
125a93ab680
1331555015b
141a0b61440
15ec9a4610
hex97296c00

2536074240 has 352 divisors, whose sum is σ = 9401134080. Its totient is φ = 571539456.

The previous prime is 2536074217. The next prime is 2536074251. The reversal of 2536074240 is 424706352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11074446 + ... + 11074674.

Almost surely, 22536074240 is an apocalyptic number.

2536074240 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 2536074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700567040).

2536074240 is an abundant number, since it is smaller than the sum of its proper divisors (6865059840).

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

2536074240 is a wasteful number, since it uses less digits than its factorization.

2536074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2536074240 is about 50359.4503544270. The cubic root of 2536074240 is about 1363.7056952547.

The spelling of 2536074240 in words is "two billion, five hundred thirty-six million, seventy-four thousand, two hundred forty".