Search a number
-
+
2138845240 = 23577638733
BaseRepresentation
bin111111101111100…
…0011000000111000
312112001121121002101
41333133003000320
513340021021430
6552122513144
7104000612260
oct17737030070
95461547071
102138845240
119a83600a4
124b83657b4
1328116bbcc
141640bc7a0
15c7b8bdca
hex7f7c3038

2138845240 has 32 divisors (see below), whose sum is σ = 5499888480. Its totient is φ = 733318272.

The previous prime is 2138845213. The next prime is 2138845249. The reversal of 2138845240 is 425488312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2138845240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138845249) 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 7 ways as a sum of consecutive naturals, for example, 3819087 + ... + 3819646.

It is an arithmetic number, because the mean of its divisors is an integer number (171871515).

Almost surely, 22138845240 is an apocalyptic number.

2138845240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138845240 is an abundant number, since it is smaller than the sum of its proper divisors (3361043240).

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

2138845240 is a wasteful number, since it uses less digits than its factorization.

2138845240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638751 (or 7638747 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 2138845240 is about 46247.6511836007. The cubic root of 2138845240 is about 1288.4269108736.

The spelling of 2138845240 in words is "two billion, one hundred thirty-eight million, eight hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7638733 15277466 30554932 38193665 53471131 61109864 76387330 106942262 152774660 213884524 267355655 305549320 427769048 534711310 1069422620 2138845240