Search a number
-
+
2137620309 = 31164776373
BaseRepresentation
bin111111101101001…
…0111111101010101
312111222022100210120
41333122113331111
513334212322214
6552040342153
7103654321116
oct17732277525
95458270716
102137620309
119a76a3860
124b7a74959
13280b304b6
14163c8020d
15c79e8ea9
hex7f697f55

2137620309 has 8 divisors (see below), whose sum is σ = 3109265952. Its totient is φ = 1295527440.

The previous prime is 2137620271. The next prime is 2137620337. The reversal of 2137620309 is 9030267312.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2137620309 - 213 = 2137612117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 64776373 = 2137620309 / (2 + 1 + 3 + 7 + 6 + 2 + 0 + 3 + 0 + 9).

It is a self number, because there is not a number n which added to its sum of digits gives 2137620309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137620349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32388154 + ... + 32388219.

It is an arithmetic number, because the mean of its divisors is an integer number (388658244).

Almost surely, 22137620309 is an apocalyptic number.

It is an amenable number.

2137620309 is a deficient number, since it is larger than the sum of its proper divisors (971645643).

2137620309 is a wasteful number, since it uses less digits than its factorization.

2137620309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64776387.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 2137620309 is about 46234.4061170899. The cubic root of 2137620309 is about 1288.1809003288.

The spelling of 2137620309 in words is "two billion, one hundred thirty-seven million, six hundred twenty thousand, three hundred nine".

Divisors: 1 3 11 33 64776373 194329119 712540103 2137620309