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1361275040 = 25545718617
BaseRepresentation
bin101000100100011…
…0110100010100000
310111212110221022002
41101020312202200
510241441300130
6343024503132
745506434616
oct12110664240
93455427262
101361275040
1163944a0a4
1231ba7aaa8
131890403b8
14ccb116b6
157e795b45
hex512368a0

1361275040 has 48 divisors (see below), whose sum is σ = 3223222632. Its totient is φ = 543289344.

The previous prime is 1361275021. The next prime is 1361275043. The reversal of 1361275040 is 405721631.

It can be written as a sum of positive squares in 4 ways, for example, as 1357480336 + 3794704 = 36844^2 + 1948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1361274994 and 1361275012.

It is not an unprimeable number, because it can be changed into a prime (1361275043) 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, 63812 + ... + 82428.

Almost surely, 21361275040 is an apocalyptic number.

1361275040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361275040 is an abundant number, since it is smaller than the sum of its proper divisors (1861947592).

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

1361275040 is a wasteful number, since it uses less digits than its factorization.

1361275040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19089 (or 19081 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 1361275040 is about 36895.4609674415. The cubic root of 1361275040 is about 1108.2777827071.

Adding to 1361275040 its reverse (405721631), we get a palindrome (1766996671).

The spelling of 1361275040 in words is "one billion, three hundred sixty-one million, two hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 457 914 1828 2285 3656 4570 7312 9140 14624 18280 18617 36560 37234 73120 74468 93085 148936 186170 297872 372340 595744 744680 1489360 2978720 8507969 17015938 34031876 42539845 68063752 85079690 136127504 170159380 272255008 340318760 680637520 1361275040