Search a number
-
+
2137865490 = 232523754061
BaseRepresentation
bin111111101101101…
…0011110100010010
312111222202211010100
41333123103310102
513334243143430
6552045513230
7103656361665
oct17733236422
95458684110
102137865490
119a7850a92
124b7b72816
13280bb7c87
14163d056dc
15c7a46960
hex7f6d3d12

2137865490 has 24 divisors (see below), whose sum is σ = 5558450508. Its totient is φ = 570097440.

The previous prime is 2137865489. The next prime is 2137865491. The reversal of 2137865490 is 945687312.

2137865490 is a `hidden beast` number, since 21 + 3 + 7 + 86 + 549 + 0 = 666.

2137865490 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2137865489) and next prime (2137865491).

It can be written as a sum of positive squares in 2 ways, for example, as 1927122201 + 210743289 = 43899^2 + 14517^2 .

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

2137865490 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2137865491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11876941 + ... + 11877120.

It is a 1-persistent number, because it is pandigital, but 2⋅2137865490 = 4275730980 is not.

Almost surely, 22137865490 is an apocalyptic number.

2137865490 is an abundant number, since it is smaller than the sum of its proper divisors (3420585018).

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

2137865490 is a wasteful number, since it uses less digits than its factorization.

2137865490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23754074 (or 23754071 counting only the distinct ones).

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

The square root of 2137865490 is about 46237.0575404621. The cubic root of 2137865490 is about 1288.2301490822.

It can be divided in two parts, 21378 and 65490, that added together give a palindrome (86868).

The spelling of 2137865490 in words is "two billion, one hundred thirty-seven million, eight hundred sixty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 23754061 47508122 71262183 118770305 142524366 213786549 237540610 356310915 427573098 712621830 1068932745 2137865490