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1314588132 = 2232111331511
BaseRepresentation
bin100111001011011…
…0000010111100100
310101121121222220100
41032112300113210
510143013310012
6334240104100
744401546314
oct11626602744
93347558810
101314588132
11615061580
12308305030
1317c475000
14c683b444
157a6228dc
hex4e5b05e4

1314588132 has 144 divisors (see below), whose sum is σ = 3929627520. Its totient is φ = 367473600.

The previous prime is 1314588127. The next prime is 1314588137. The reversal of 1314588132 is 2318854131.

It is an interprime number because it is at equal distance from previous prime (1314588127) and next prime (1314588137).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314588137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869257 + ... + 870767.

It is an arithmetic number, because the mean of its divisors is an integer number (27289080).

Almost surely, 21314588132 is an apocalyptic number.

1314588132 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 1314588132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964813760).

1314588132 is an abundant number, since it is smaller than the sum of its proper divisors (2615039388).

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

1314588132 is a wasteful number, since it uses less digits than its factorization.

1314588132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1540 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1314588132 is about 36257.2493716774. The cubic root of 1314588132 is about 1095.4601131349.

The spelling of 1314588132 in words is "one billion, three hundred fourteen million, five hundred eighty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 169 198 234 286 338 396 429 468 507 572 676 858 1014 1287 1511 1521 1716 1859 2028 2197 2574 3022 3042 3718 4394 4533 5148 5577 6044 6084 6591 7436 8788 9066 11154 13182 13599 16621 16731 18132 19643 19773 22308 24167 26364 27198 33242 33462 39286 39546 48334 49863 54396 58929 66484 66924 72501 78572 79092 96668 99726 117858 145002 149589 176787 199452 216073 217503 235716 255359 290004 299178 353574 432146 435006 510718 598356 648219 707148 766077 864292 870012 1021436 1296438 1532154 1944657 2298231 2592876 2808949 3064308 3319667 3889314 4596462 5617898 6639334 7778628 8426847 9192924 9959001 11235796 13278668 16853694 19918002 25280541 29877003 33707388 36516337 39836004 50561082 59754006 73032674 101122164 109549011 119508012 146065348 219098022 328647033 438196044 657294066 1314588132