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2140930068 = 2232397211379
BaseRepresentation
bin111111110011100…
…0000000000010100
312112012112111221020
41333213000000110
513341034230233
6552235321140
7104024414424
oct17747000024
95465474836
102140930068
119a95544a2
124b8bb01b0
1328171bb34
141644a2484
15c7e4e9b3
hex7f9c0014

2140930068 has 96 divisors (see below), whose sum is σ = 5305359360. Its totient is φ = 670602240.

The previous prime is 2140930067. The next prime is 2140930073. The reversal of 2140930068 is 8600390412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140930063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5648703 + ... + 5649081.

It is an arithmetic number, because the mean of its divisors is an integer number (55264160).

Almost surely, 22140930068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140930068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652679680).

2140930068 is an abundant number, since it is smaller than the sum of its proper divisors (3164429292).

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

2140930068 is a wasteful number, since it uses less digits than its factorization.

2140930068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2140930068 is about 46270.1855194033. The cubic root of 2140930068 is about 1288.8454040169.

The spelling of 2140930068 in words is "two billion, one hundred forty million, nine hundred thirty thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 97 138 194 211 276 291 379 388 422 582 633 758 844 1137 1164 1266 1516 2231 2274 2532 4462 4548 4853 6693 8717 8924 9706 13386 14559 17434 19412 20467 26151 26772 29118 34868 36763 40934 52302 58236 61401 73526 79969 81868 104604 110289 122802 147052 159938 220578 239907 245604 319876 441156 470741 479814 845549 941482 959628 1412223 1691098 1839287 1882964 2536647 2824446 3382196 3678574 5073294 5517861 5648892 7357148 7756993 10146588 11035722 15513986 22071444 23270979 31027972 46541958 93083916 178410839 356821678 535232517 713643356 1070465034 2140930068