Search a number
-
+
2133979290 = 233549116097
BaseRepresentation
bin111111100110001…
…1111000010011010
312111201110101021000
41333030133002122
513332244314130
6551430325430
7103611344652
oct17714370232
95451411230
102133979290
119a5637253
124b67b9876
13280157151
141635b3362
15c752a260
hex7f31f09a

2133979290 has 64 divisors (see below), whose sum is σ = 5702555520. Its totient is φ = 567866880.

The previous prime is 2133979231. The next prime is 2133979301. The reversal of 2133979290 is 929793312.

It is a happy number.

2133979290 is a `hidden beast` number, since 21 + 339 + 7 + 9 + 290 = 666.

It is a super-2 number, since 2×21339792902 = 9107735220297808200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124522 + ... + 140618.

It is an arithmetic number, because the mean of its divisors is an integer number (89102430).

Almost surely, 22133979290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133979290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851277760).

2133979290 is an abundant number, since it is smaller than the sum of its proper divisors (3568576230).

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

2133979290 is a wasteful number, since it uses less digits than its factorization.

2133979290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16604 (or 16598 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 2133979290 is about 46195.0136919560. The cubic root of 2133979290 is about 1287.4490964259.

The spelling of 2133979290 in words is "two billion, one hundred thirty-three million, nine hundred seventy-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 491 982 1473 2455 2946 4419 4910 7365 8838 13257 14730 16097 22095 26514 32194 44190 48291 66285 80485 96582 132570 144873 160970 241455 289746 434619 482910 724365 869238 1448730 2173095 4346190 7903627 15807254 23710881 39518135 47421762 71132643 79036270 118554405 142265286 213397929 237108810 355663215 426795858 711326430 1066989645 2133979290