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2402135190 = 23757131771
BaseRepresentation
bin1000111100101101…
…1010110010010110
320012102001010000000
42033023122302112
514404421311230
61034210032130
7113345545410
oct21713326226
96172033000
102402135190
111022a407a4
12570578646
132c3885790
1418b0579b0
15e0d48b60
hex8f2dac96

2402135190 has 512 divisors, whose sum is σ = 8569774080. Its totient is φ = 470292480.

The previous prime is 2402135189. The next prime is 2402135191. The reversal of 2402135190 is 915312042.

It is an interprime number because it is at equal distance from previous prime (2402135189) and next prime (2402135191).

It is a super-2 number, since 2×24021351902 = 11540506942072672200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402135191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33832855 + ... + 33832925.

It is an arithmetic number, because the mean of its divisors is an integer number (16737840).

Almost surely, 22402135190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402135190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284887040).

2402135190 is an abundant number, since it is smaller than the sum of its proper divisors (6167638890).

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

2402135190 is a wasteful number, since it uses less digits than its factorization.

2402135190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2402135190 is about 49011.5822025774. The cubic root of 2402135190 is about 1339.2628287381.

The spelling of 2402135190 in words is "two billion, four hundred two million, one hundred thirty-five thousand, one hundred ninety".