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1268439012 = 22321911316411
BaseRepresentation
bin100101110011010…
…1101011111100100
310021101210101012200
41023212231133210
510044210022022
6325511014500
743301360631
oct11346553744
93241711180
101268439012
115a1001005
122b496a430
13172a37639
14c0667188
1576558bac
hex4b9ad7e4

1268439012 has 72 divisors (see below), whose sum is σ = 3405161760. Its totient is φ = 396990720.

The previous prime is 1268438957. The next prime is 1268439013. The reversal of 1268439012 is 2109348621.

1268439012 is a `hidden beast` number, since 1 + 268 + 4 + 390 + 1 + 2 = 666.

It is a super-2 number, since 2×12684390122 = 3217875054327072288, which contains 22 as substring.

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 (1268439013) 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, 69087 + ... + 85497.

Almost surely, 21268439012 is an apocalyptic number.

1268439012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268439012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702580880).

1268439012 is an abundant number, since it is smaller than the sum of its proper divisors (2136722748).

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

1268439012 is a wasteful number, since it uses less digits than its factorization.

1268439012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16553 (or 16548 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1268439012 is about 35615.1514386785. The cubic root of 1268439012 is about 1082.4882648199.

The spelling of 1268439012 in words is "one billion, two hundred sixty-eight million, four hundred thirty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 113 114 171 226 228 339 342 452 678 684 1017 1356 2034 2147 4068 4294 6441 8588 12882 16411 19323 25764 32822 38646 49233 65644 77292 98466 147699 196932 295398 311809 590796 623618 935427 1247236 1854443 1870854 2806281 3708886 3741708 5563329 5612562 7417772 11126658 11225124 16689987 22253316 33379974 35234417 66759948 70468834 105703251 140937668 211406502 317109753 422813004 634219506 1268439012