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5408706240 = 263257238327
BaseRepresentation
bin1010000100110001…
…00100111011000000
3111221221102202010100
411002120210323000
542034112044430
62252411202400
7251014146600
oct50230447300
914857382110
105408706240
11232608a063
12106b446400
1368272abc2
14394490c00
15219c89960
hex142624ec0

5408706240 has 252 divisors, whose sum is σ = 21641598576. Its totient is φ = 1236243456.

The previous prime is 5408706229. The next prime is 5408706263. The reversal of 5408706240 is 426078045.

5408706240 is a `hidden beast` number, since 5 + 408 + 7 + 0 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×54087062402 = 58508206381229875200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5408706195 and 5408706204.

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, 121957 + ... + 160283.

Almost surely, 25408706240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820799288).

5408706240 is an abundant number, since it is smaller than the sum of its proper divisors (16232892336).

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

5408706240 is a wasteful number, since it uses less digits than its factorization.

5408706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38364 (or 38344 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5408706240 is about 73543.9068856149. The cubic root of 5408706240 is about 1755.3529959340.

The spelling of 5408706240 in words is "five billion, four hundred eight million, seven hundred six thousand, two hundred forty".