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1351136268 = 223317273593
BaseRepresentation
bin101000010001000…
…1011010000001100
310111011101211112000
41100202023100030
510231342330033
6342023312300
745324316536
oct12042132014
93434354460
101351136268
11633754749
123185ab690
13186c00621
14cb632856
157d941a13
hex5088b40c

1351136268 has 144 divisors (see below), whose sum is σ = 3778457760. Its totient is φ = 417374208.

The previous prime is 1351136243. The next prime is 1351136273. The reversal of 1351136268 is 8626311531.

1351136268 is a `hidden beast` number, since 13 + 5 + 1 + 13 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2278180 + ... + 2278772.

It is an arithmetic number, because the mean of its divisors is an integer number (26239290).

Almost surely, 21351136268 is an apocalyptic number.

1351136268 is a gapful number since it is divisible by the number (18) 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 1351136268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889228880).

1351136268 is an abundant number, since it is smaller than the sum of its proper divisors (2427321492).

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

1351136268 is a wasteful number, since it uses less digits than its factorization.

1351136268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 688 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1351136268 is about 36757.8055384159. The cubic root of 1351136268 is about 1105.5194402006.

Adding to 1351136268 its reverse (8626311531), we get a palindrome (9977447799).

The spelling of 1351136268 in words is "one billion, three hundred fifty-one million, one hundred thirty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 73 102 108 146 153 204 219 289 292 306 438 459 578 593 612 657 867 876 918 1156 1186 1241 1314 1734 1779 1836 1971 2372 2482 2601 2628 3468 3558 3723 3942 4964 5202 5337 7116 7446 7803 7884 10081 10404 10674 11169 14892 15606 16011 20162 21097 21348 22338 30243 31212 32022 33507 40324 42194 43289 44676 60486 63291 64044 67014 84388 86578 90729 120972 126582 129867 134028 171377 173156 181458 189873 253164 259734 272187 342754 362916 379746 389601 514131 519468 544374 569619 685508 735913 759492 779202 1028262 1088748 1139238 1168803 1471826 1542393 1558404 2056524 2207739 2278476 2337606 2943652 3084786 4415478 4627179 4675212 6169572 6623217 8830956 9254358 12510521 13246434 18508716 19869651 25021042 26492868 37531563 39739302 50042084 75063126 79478604 112594689 150126252 225189378 337784067 450378756 675568134 1351136268