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2868140232 = 233397367373
BaseRepresentation
bin1010101011110100…
…0101100011001000
321101212220121202000
42222331011203020
521333220441412
61152334111000
7131034534606
oct25275054310
97355817660
102868140232
111241a99231
1268064b460
133692973c9
141d2cc0876
1511bbe94dc
hexaaf458c8

2868140232 has 128 divisors (see below), whose sum is σ = 8092761600. Its totient is φ = 941082624.

The previous prime is 2868140203. The next prime is 2868140239. The reversal of 2868140232 is 2320418682.

2868140232 is a `hidden beast` number, since 286 + 8 + 140 + 232 = 666.

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 (2868140239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7689198 + ... + 7689570.

It is an arithmetic number, because the mean of its divisors is an integer number (63224700).

Almost surely, 22868140232 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 2868140232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046380800).

2868140232 is an abundant number, since it is smaller than the sum of its proper divisors (5224621368).

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

2868140232 is a wasteful number, since it uses less digits than its factorization.

2868140232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

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

The square root of 2868140232 is about 53555.0206049816. The cubic root of 2868140232 is about 1420.8016752057.

The spelling of 2868140232 in words is "two billion, eight hundred sixty-eight million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 367 373 388 582 734 746 776 873 1101 1119 1164 1468 1492 1746 2202 2238 2328 2619 2936 2984 3303 3357 3492 4404 4476 5238 6606 6714 6984 8808 8952 9909 10071 10476 13212 13428 19818 20142 20952 26424 26856 35599 36181 39636 40284 71198 72362 79272 80568 106797 108543 136891 142396 144724 213594 217086 273782 284792 289448 320391 325629 410673 427188 434172 547564 640782 651258 821346 854376 868344 961173 976887 1095128 1232019 1281564 1302516 1642692 1922346 1953774 2464038 2563128 2605032 3285384 3696057 3844692 3907548 4928076 7392114 7689384 7815096 9856152 13278427 14784228 26556854 29568456 39835281 53113708 79670562 106227416 119505843 159341124 239011686 318682248 358517529 478023372 717035058 956046744 1434070116 2868140232