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1364521312 = 257111015483
BaseRepresentation
bin101000101010100…
…1111000101100000
310112002120212100101
41101111033011200
510243304140222
6343222232144
745546145150
oct12125170540
93462525311
101364521312
11640267070
12320b85654
13189908b7b
14cd318760
157ebd7927
hex5154f160

1364521312 has 96 divisors (see below), whose sum is σ = 3383057664. Its totient is φ = 526272000.

The previous prime is 1364521297. The next prime is 1364521313. The reversal of 1364521312 is 2131254631.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364521313) by changing a digit.

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, 246123 + ... + 251605.

It is an arithmetic number, because the mean of its divisors is an integer number (35240184).

Almost surely, 21364521312 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 1364521312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691528832).

1364521312 is an abundant number, since it is smaller than the sum of its proper divisors (2018536352).

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

1364521312 is a wasteful number, since it uses less digits than its factorization.

1364521312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5604 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 1364521312 is about 36939.4276079097. The cubic root of 1364521312 is about 1109.1580640386.

Adding to 1364521312 its reverse (2131254631), we get a palindrome (3495775943).

The spelling of 1364521312 in words is "one billion, three hundred sixty-four million, five hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 101 112 154 176 202 224 308 352 404 616 707 808 1111 1232 1414 1616 2222 2464 2828 3232 4444 5483 5656 7777 8888 10966 11312 15554 17776 21932 22624 31108 35552 38381 43864 60313 62216 76762 87728 120626 124432 153524 175456 241252 248864 307048 422191 482504 553783 614096 844382 965008 1107566 1228192 1688764 1930016 2215132 3377528 3876481 4430264 6091613 6755056 7752962 8860528 12183226 13510112 15505924 17721056 24366452 31011848 42641291 48732904 62023696 85282582 97465808 124047392 170565164 194931616 341130328 682260656 1364521312