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2687502240 = 2536523041
BaseRepresentation
bin1010000000110000…
…0000011110100000
320221022000021000000
42200030000132200
521001000032430
61122402300000
7123412251333
oct24014003640
96838007000
102687502240
11115a030235
12630057600
1333aa2c017
141b6cdc61a
1510ae16e60
hexa03007a0

2687502240 has 168 divisors, whose sum is σ = 9519894468. Its totient is φ = 716636160.

The previous prime is 2687502221. The next prime is 2687502269. The reversal of 2687502240 is 422057862.

It can be written as a sum of positive squares in 2 ways, for example, as 2543790096 + 143712144 = 50436^2 + 11988^2 .

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 = 2687502195 and 2687502204.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 105120 + ... + 128160.

Almost surely, 22687502240 is an apocalyptic number.

2687502240 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 2687502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759947234).

2687502240 is an abundant number, since it is smaller than the sum of its proper divisors (6832392228).

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

2687502240 is an equidigital number, since it uses as much as digits as its factorization.

2687502240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23074 (or 23051 counting only the distinct ones).

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

The square root of 2687502240 is about 51841.1249877932. The cubic root of 2687502240 is about 1390.3248279033.

The spelling of 2687502240 in words is "two billion, six hundred eighty-seven million, five hundred two thousand, two hundred forty".