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2602139040 = 253352326189
BaseRepresentation
bin1001101100011001…
…0111110110100000
320201100101100201000
42123012113312200
520312121422130
61110112512000
7121324550124
oct23306276640
96640340630
102602139040
111115926636
1260754b600
13326141757
141a983b584
151036a4260
hex9b197da0

2602139040 has 192 divisors, whose sum is σ = 9503827200. Its totient is φ = 663708672.

The previous prime is 2602139011. The next prime is 2602139041. The reversal of 2602139040 is 409312062.

2602139040 is a `hidden beast` number, since 2 + 602 + 13 + 9 + 0 + 40 = 666.

2602139040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26021390402 = 13542255166984243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2602138995 and 2602139013.

It is not an unprimeable number, because it can be changed into a prime (2602139041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86266 + ... + 112454.

It is an arithmetic number, because the mean of its divisors is an integer number (49499100).

Almost surely, 22602139040 is an apocalyptic number.

2602139040 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 2602139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751913600).

2602139040 is an abundant number, since it is smaller than the sum of its proper divisors (6901688160).

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

2602139040 is a wasteful number, since it uses less digits than its factorization.

2602139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26236 (or 26222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2602139040 is about 51011.1658365107. The cubic root of 2602139040 is about 1375.4458569537.

The spelling of 2602139040 in words is "two billion, six hundred two million, one hundred thirty-nine thousand, forty".