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61440431 = 13171731607
BaseRepresentation
bin1110101001100…
…0000110101111
311021121111102112
43222120012233
5111212043211
610032514235
71344143423
oct352300657
9137544375
1061440431
1131755118
12186ab97b
13c9627b0
148234b83
1555d988b
hex3a981af

61440431 has 16 divisors (see below), whose sum is σ = 70507584. Its totient is φ = 53036544.

The previous prime is 61440371. The next prime is 61440439. The reversal of 61440431 is 13404416.

It is a cyclic number.

It is not a de Polignac number, because 61440431 - 26 = 61440367 is a prime.

It is a super-2 number, since 2×614404312 = 7549853122931522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61440397 and 61440406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61440439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37430 + ... + 39036.

It is an arithmetic number, because the mean of its divisors is an integer number (4406724).

Almost surely, 261440431 is an apocalyptic number.

61440431 is a deficient number, since it is larger than the sum of its proper divisors (9067153).

61440431 is a wasteful number, since it uses less digits than its factorization.

61440431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 61440431 is about 7838.3946698288. The cubic root of 61440431 is about 394.5948545794.

Adding to 61440431 its reverse (13404416), we get a palindrome (74844847).

The spelling of 61440431 in words is "sixty-one million, four hundred forty thousand, four hundred thirty-one".

Divisors: 1 13 17 173 221 1607 2249 2941 20891 27319 38233 278011 355147 3614143 4726187 61440431