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5702538240 = 21033577183
BaseRepresentation
bin1010100111110010…
…11101010000000000
3112201102022221212000
411103321131100000
543134322210430
62341505104000
7261212526630
oct52371352000
915642287760
105702538240
112466a30423
121131928000
136cb5793a9
143c14da6c0
1523597ae60
hex153e5d400

5702538240 has 704 divisors, whose sum is σ = 23770091520. Its totient is φ = 1269596160.

The previous prime is 5702538239. The next prime is 5702538241. The reversal of 5702538240 is 428352075.

5702538240 is a `hidden beast` number, since 570 + 2 + 5 + 3 + 82 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5702538239) and next prime (5702538241).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5702538195 and 5702538204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5702538241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68705239 + ... + 68705321.

Almost surely, 25702538240 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 5702538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885045760).

5702538240 is an abundant number, since it is smaller than the sum of its proper divisors (18067553280).

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

5702538240 is a wasteful number, since it uses less digits than its factorization.

5702538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5702538240 is about 75515.1523867892. The cubic root of 5702538240 is about 1786.5811003303.

The spelling of 5702538240 in words is "five billion, seven hundred two million, five hundred thirty-eight thousand, two hundred forty".