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1368013140 = 2232513584621
BaseRepresentation
bin101000110001010…
…0011100101010100
310112100011021020100
41101202203211110
510300202410030
6343425134100
745620630334
oct12142434524
93470137210
101368013140
1164223157a
1232218a330
1318a55c340
14cd9870c4
1580177360
hex518a3954

1368013140 has 72 divisors (see below), whose sum is σ = 4468850568. Its totient is φ = 336741120.

The previous prime is 1368013121. The next prime is 1368013151. The reversal of 1368013140 is 413108631.

It can be written as a sum of positive squares in 4 ways, for example, as 22297284 + 1345715856 = 4722^2 + 36684^2 .

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 23 ways as a sum of consecutive naturals, for example, 289971 + ... + 294650.

It is an arithmetic number, because the mean of its divisors is an integer number (62067369).

Almost surely, 21368013140 is an apocalyptic number.

1368013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1368013140 is an abundant number, since it is smaller than the sum of its proper divisors (3100837428).

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

1368013140 is a wasteful number, since it uses less digits than its factorization.

1368013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584649 (or 584644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1368013140 is about 36986.6616498434. The cubic root of 1368013140 is about 1110.1033748379.

The spelling of 1368013140 in words is "one billion, three hundred sixty-eight million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 584621 1169242 1753863 2338484 2923105 3507726 5261589 5846210 7015452 7600073 8769315 10523178 11692420 15200146 17538630 21046356 22800219 26307945 30400292 35077260 38000365 45600438 52615890 68400657 76000730 91200876 105231780 114001095 136801314 152001460 228002190 273602628 342003285 456004380 684006570 1368013140