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2136748590 = 232567354353
BaseRepresentation
bin111111101011100…
…0011001000101110
312111220200002000200
41333113003020232
513334001423330
6552005534330
7103644030504
oct17727031056
95456602020
102136748590
119a7158929
124b77143a6
132808b67a2
14163ad4674
15c78c5a60
hex7f5c322e

2136748590 has 48 divisors (see below), whose sum is σ = 5638480848. Its totient is φ = 561293568.

The previous prime is 2136748541. The next prime is 2136748613. The reversal of 2136748590 is 958476312.

2136748590 is a `hidden beast` number, since 2 + 13 + 6 + 7 + 48 + 590 = 666.

2136748590 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2136748590 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171147 + ... + 183206.

It is an arithmetic number, because the mean of its divisors is an integer number (117468351).

It is a 1-persistent number, because it is pandigital, but 2⋅2136748590 = 4273497180 is not.

Almost surely, 22136748590 is an apocalyptic number.

2136748590 is an abundant number, since it is smaller than the sum of its proper divisors (3501732258).

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

2136748590 is a wasteful number, since it uses less digits than its factorization.

2136748590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354433 (or 354430 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2136748590 is about 46224.9779880964. The cubic root of 2136748590 is about 1288.0057703116.

The spelling of 2136748590 in words is "two billion, one hundred thirty-six million, seven hundred forty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 354353 708706 1063059 1771765 2126118 3189177 3543530 5315295 6378354 10630590 15945885 23741651 31891770 47483302 71224953 118708255 142449906 213674859 237416510 356124765 427349718 712249530 1068374295 2136748590