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1268645430 = 235136435059
BaseRepresentation
bin100101110011101…
…1111111000110110
310021102011212100210
41023213133320312
510044233123210
6325515250250
743303210503
oct11347377066
93242155323
101268645430
115a11320a8
122b4a49986
13172aaa590
14c06bc4aa
1576599e20
hex4b9dfe36

1268645430 has 64 divisors (see below), whose sum is σ = 3284709120. Its totient is φ = 311734656.

The previous prime is 1268645429. The next prime is 1268645453. The reversal of 1268645430 is 345468621.

It is a super-2 number, since 2×12686454302 = 3218922454119769800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248241 + ... + 253299.

It is an arithmetic number, because the mean of its divisors is an integer number (51323580).

Almost surely, 21268645430 is an apocalyptic number.

1268645430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1268645430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642354560).

1268645430 is an abundant number, since it is smaller than the sum of its proper divisors (2016063690).

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

1268645430 is a wasteful number, since it uses less digits than its factorization.

1268645430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725.

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1268645430 is about 35618.0492166542. The cubic root of 1268645430 is about 1082.5469808062.

The spelling of 1268645430 in words is "one billion, two hundred sixty-eight million, six hundred forty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 643 1286 1929 3215 3858 5059 6430 8359 9645 10118 15177 16718 19290 25077 25295 30354 41795 50154 50590 65767 75885 83590 125385 131534 151770 197301 250770 328835 394602 657670 986505 1973010 3252937 6505874 9758811 16264685 19517622 32529370 42288181 48794055 84576362 97588110 126864543 211440905 253729086 422881810 634322715 1268645430