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2735153140 = 225659207523
BaseRepresentation
bin1010001100000111…
…0001111111110100
321001121200011202011
42203001301333310
521100144400030
61131223454004
7124531263256
oct24301617764
97047604664
102735153140
111183a17045
12643bb7304
13347874115
141bd383cd6
151101cab2a
hexa3071ff4

2735153140 has 24 divisors (see below), whose sum is σ = 5752565280. Its totient is φ = 1092395808.

The previous prime is 2735153131. The next prime is 2735153207. The reversal of 2735153140 is 413515372.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90582 + ... + 116941.

It is an arithmetic number, because the mean of its divisors is an integer number (239690220).

Almost surely, 22735153140 is an apocalyptic number.

2735153140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2735153140 is an abundant number, since it is smaller than the sum of its proper divisors (3017412140).

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

2735153140 is a wasteful number, since it uses less digits than its factorization.

2735153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208191 (or 208189 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 2735153140 is about 52298.6915706311. The cubic root of 2735153140 is about 1398.4938121240.

The spelling of 2735153140 in words is "two billion, seven hundred thirty-five million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 659 1318 2636 3295 6590 13180 207523 415046 830092 1037615 2075230 4150460 136757657 273515314 547030628 683788285 1367576570 2735153140