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1311230272 = 26113771709
BaseRepresentation
bin100111000100111…
…1100100101000000
310101101022101210011
41032021330211000
510141133332042
6334040114304
744331162532
oct11611744500
93341271704
101311230272
11613178790
12307165994
1317b86a801
14c6205852
157a1aca17
hex4e27c940

1311230272 has 112 divisors (see below), whose sum is σ = 2960461440. Its totient is φ = 570931200.

The previous prime is 1311230269. The next prime is 1311230317. The reversal of 1311230272 is 2720321131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849054 + ... + 1849762.

Almost surely, 21311230272 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 1311230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480230720).

1311230272 is an abundant number, since it is smaller than the sum of its proper divisors (1649231168).

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

1311230272 is a wasteful number, since it uses less digits than its factorization.

1311230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1311230272 is about 36210.9137139620. The cubic root of 1311230272 is about 1094.5266045125.

The spelling of 1311230272 in words is "one billion, three hundred eleven million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 71 74 88 142 148 176 284 296 352 407 568 592 704 709 781 814 1136 1184 1418 1562 1628 2272 2368 2627 2836 3124 3256 4544 5254 5672 6248 6512 7799 10508 11344 12496 13024 15598 21016 22688 24992 26048 26233 28897 31196 42032 45376 49984 50339 52466 57794 62392 84064 100678 104932 115588 124784 168128 201356 209864 231176 249568 288563 402712 419728 462352 499136 553729 577126 805424 839456 924704 1107458 1154252 1610848 1678912 1849408 1862543 2214916 2308504 3221696 3725086 4429832 4617008 7450172 8859664 9234016 14900344 17719328 18468032 20487973 29800688 35438656 40975946 59601376 81951892 119202752 163903784 327807568 655615136 1311230272