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1361815040 = 2951812939
BaseRepresentation
bin101000100101011…
…1010011000000000
310111220111101001002
41101022322120000
510242111040130
6343044231132
745514144145
oct12112723000
93456441032
101361815040
11639788883
1232009b4a8
1318919c121
14ccc123cc
157e850b45
hex512ba600

1361815040 has 80 divisors (see below), whose sum is σ = 3284321040. Its totient is φ = 541532160.

The previous prime is 1361815009. The next prime is 1361815043. The reversal of 1361815040 is 405181631.

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

It is a junction number, because it is equal to n+sod(n) for n = 1361814994 and 1361815012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361815043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461891 + ... + 464829.

It is an arithmetic number, because the mean of its divisors is an integer number (41054013).

Almost surely, 21361815040 is an apocalyptic number.

1361815040 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 1361815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642160520).

1361815040 is an abundant number, since it is smaller than the sum of its proper divisors (1922506000).

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

1361815040 is an equidigital number, since it uses as much as digits as its factorization.

1361815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1361815040 is about 36902.7782151968. The cubic root of 1361815040 is about 1108.4243097663.

Adding to 1361815040 its reverse (405181631), we get a palindrome (1766996671).

The spelling of 1361815040 in words is "one billion, three hundred sixty-one million, eight hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 256 320 362 512 640 724 905 1280 1448 1810 2560 2896 2939 3620 5792 5878 7240 11584 11756 14480 14695 23168 23512 28960 29390 46336 47024 57920 58780 92672 94048 115840 117560 188096 231680 235120 376192 463360 470240 531959 752384 940480 1063918 1504768 1880960 2127836 2659795 3761920 4255672 5319590 7523840 8511344 10639180 17022688 21278360 34045376 42556720 68090752 85113440 136181504 170226880 272363008 340453760 680907520 1361815040