Search a number
-
+
2136888240 = 243510698329
BaseRepresentation
bin111111101011110…
…0101001110110000
312111220221011120220
41333113211032300
513334020410430
6552012533040
7103645151604
oct17727451660
95456834526
102136888240
119a7243843
124b7781180
13280935216
14163b2d504
15c7902110
hex7f5e53b0

2136888240 has 80 divisors (see below), whose sum is σ = 6631346400. Its totient is φ = 569235456.

The previous prime is 2136888233. The next prime is 2136888277. The reversal of 2136888240 is 428886312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2136888192 and 2136888201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252396 + ... + 260724.

It is an arithmetic number, because the mean of its divisors is an integer number (82891830).

Almost surely, 22136888240 is an apocalyptic number.

2136888240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136888240 is an abundant number, since it is smaller than the sum of its proper divisors (4494458160).

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

2136888240 is a wasteful number, since it uses less digits than its factorization.

2136888240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2136888240 is about 46226.4885103768. The cubic root of 2136888240 is about 1288.0338294678.

The spelling of 2136888240 in words is "two billion, one hundred thirty-six million, eight hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1069 2138 3207 4276 5345 6414 8329 8552 10690 12828 16035 16658 17104 21380 24987 25656 32070 33316 41645 42760 49974 51312 64140 66632 83290 85520 99948 124935 128280 133264 166580 199896 249870 256560 333160 399792 499740 666320 999480 1998960 8903701 17807402 26711103 35614804 44518505 53422206 71229608 89037010 106844412 133555515 142459216 178074020 213688824 267111030 356148040 427377648 534222060 712296080 1068444120 2136888240