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1361336240 = 245113075039
BaseRepresentation
bin101000100100100…
…0101011110110000
310111212121001020202
41101021011132300
510242000224430
6343030054332
745510111215
oct12111053660
93455531222
101361336240
11639491080
1231baaa3a8
13189062204
14ccb29b0c
157e7a8d45
hex512457b0

1361336240 has 80 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 493320960.

The previous prime is 1361336239. The next prime is 1361336267. The reversal of 1361336240 is 426331631.

It is a tau number, because it is divible by the number of its divisors (80).

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, 267641 + ... + 272679.

It is an arithmetic number, because the mean of its divisors is an integer number (43309728).

Almost surely, 21361336240 is an apocalyptic number.

1361336240 is a gapful number since it is divisible by the number (10) 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 1361336240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

1361336240 is an abundant number, since it is smaller than the sum of its proper divisors (2103442000).

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

1361336240 is a wasteful number, since it uses less digits than its factorization.

1361336240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 1361336240 is about 36896.2903284327. The cubic root of 1361336240 is about 1108.2943910539.

Adding to 1361336240 its reverse (426331631), we get a palindrome (1787667871).

The spelling of 1361336240 in words is "one billion, three hundred sixty-one million, three hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 307 440 614 880 1228 1535 2456 3070 3377 4912 5039 6140 6754 10078 12280 13508 16885 20156 24560 25195 27016 33770 40312 50390 54032 55429 67540 80624 100780 110858 135080 201560 221716 270160 277145 403120 443432 554290 886864 1108580 1546973 2217160 3093946 4434320 6187892 7734865 12375784 15469730 17016703 24751568 30939460 34033406 61878920 68066812 85083515 123757840 136133624 170167030 272267248 340334060 680668120 1361336240