Search a number
-
+
2124294084 = 22321143124753
BaseRepresentation
bin111111010011110…
…0010011111000100
312111001020022122200
41332213202133010
513322304402314
6550442554500
7103433126133
oct17647423704
95431208580
102124294084
119a0121650
124b3508a30
1327b145963
141621b191a
15c6765709
hex7e9e27c4

2124294084 has 72 divisors (see below), whose sum is σ = 5994180192. Its totient is φ = 628750080.

The previous prime is 2124294079. The next prime is 2124294089. The reversal of 2124294084 is 4804924212.

2124294084 is a `hidden beast` number, since 2 + 1 + 242 + 9 + 408 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2124294079) and next prime (2124294089).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2124294089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45349 + ... + 79404.

Almost surely, 22124294084 is an apocalyptic number.

It is an amenable number.

2124294084 is an abundant number, since it is smaller than the sum of its proper divisors (3869886108).

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

2124294084 is a wasteful number, since it uses less digits than its factorization.

2124294084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124817 (or 124812 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2124294084 is about 46090.0649164221. The cubic root of 2124294084 is about 1285.4984180865.

The spelling of 2124294084 in words is "two billion, one hundred twenty-four million, two hundred ninety-four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028 124753 249506 374259 499012 748518 1122777 1372283 1497036 2245554 2744566 4116849 4491108 5364379 5489132 8233698 10728758 12350547 16093137 16467396 21457516 24701094 32186274 48279411 49402188 59008169 64372548 96558822 118016338 177024507 193117644 236032676 354049014 531073521 708098028 1062147042 2124294084