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1268930364 = 2231333724137
BaseRepresentation
bin100101110100010…
…0101011100111100
310021102201100012220
41023220211130330
510044321232424
6325525325340
743305505302
oct11350453474
93242640186
101268930364
115a1307189
122b4b66850
13172b7a190
14c0754272
1576604579
hex4ba2573c

1268930364 has 48 divisors (see below), whose sum is σ = 3198188448. Its totient is φ = 389265408.

The previous prime is 1268930359. The next prime is 1268930381. The reversal of 1268930364 is 4630398621.

1268930364 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12689303642 = 3220368537362344992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40504 + ... + 64640.

It is an arithmetic number, because the mean of its divisors is an integer number (66628926).

Almost surely, 21268930364 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 1268930364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599094224).

1268930364 is an abundant number, since it is smaller than the sum of its proper divisors (1929258084).

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

1268930364 is a wasteful number, since it uses less digits than its factorization.

1268930364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24494 (or 24492 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 1268930364 is about 35622.0488461851. The cubic root of 1268930364 is about 1082.6280203529.

The spelling of 1268930364 in words is "one billion, two hundred sixty-eight million, nine hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 337 674 1011 1348 2022 4044 4381 8762 13143 17524 24137 26286 48274 52572 72411 96548 144822 289644 313781 627562 941343 1255124 1882686 3765372 8134169 16268338 24402507 32536676 48805014 97610028 105744197 211488394 317232591 422976788 634465182 1268930364