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1311538704 = 24373372153
BaseRepresentation
bin100111000101100…
…0111111000010000
310101101220001212120
41032023013320100
510141223214304
6334050454240
744333616000
oct11613077020
93341801776
101311538704
11613369493
12307294380
1317b948008
14c6286000
157a21e0d9
hex4e2c7e10

1311538704 has 160 divisors (see below), whose sum is σ = 4059859200. Its totient is φ = 364428288.

The previous prime is 1311538703. The next prime is 1311538721. The reversal of 1311538704 is 4078351131.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311538703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608092 + ... + 610244.

It is an arithmetic number, because the mean of its divisors is an integer number (25374120).

Almost surely, 21311538704 is an apocalyptic number.

1311538704 is a gapful number since it is divisible by the number (14) 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 1311538704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029929600).

1311538704 is an abundant number, since it is smaller than the sum of its proper divisors (2748320496).

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

1311538704 is a wasteful number, since it uses less digits than its factorization.

1311538704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1311538704 is about 36215.1722900775. The cubic root of 1311538704 is about 1094.6124171957.

Adding to 1311538704 its reverse (4078351131), we get a palindrome (5389889835).

The spelling of 1311538704 in words is "one billion, three hundred eleven million, five hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 343 392 444 518 588 592 686 777 784 888 1029 1036 1176 1372 1554 1776 1813 2058 2072 2153 2352 2744 3108 3626 4116 4144 4306 5439 5488 6216 6459 7252 8232 8612 10878 12432 12691 12918 14504 15071 16464 17224 21756 25382 25836 29008 30142 34448 38073 43512 45213 50764 51672 60284 76146 79661 87024 90426 101528 103344 105497 120568 152292 159322 180852 203056 210994 238983 241136 304584 316491 318644 361704 421988 477966 557627 609168 632982 637288 723408 738479 843976 955932 1115254 1265964 1274576 1476958 1672881 1687952 1911864 2215437 2230508 2531928 2953916 3345762 3823728 3903389 4430874 4461016 5063856 5907832 6691524 7806778 8861748 8922032 11710167 11815664 13383048 15613556 17723496 23420334 26766096 27323723 31227112 35446992 46840668 54647446 62454224 81971169 93681336 109294892 163942338 187362672 218589784 327884676 437179568 655769352 1311538704