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61317240 = 23352272251
BaseRepresentation
bin1110100111101…
…0000001111000
311021101020102220
43221322001320
5111144122430
610030124040
71343121315
oct351720170
9137336386
1061317240
1131680606
1218650620
13c91b6ba
148201d0c
1555b3110
hex3a7a078

61317240 has 64 divisors (see below), whose sum is σ = 184844160. Its totient is φ = 16272000.

The previous prime is 61317203. The next prime is 61317247. The reversal of 61317240 is 4271316.

61317240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61317240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61317247) 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, 26115 + ... + 28365.

It is an arithmetic number, because the mean of its divisors is an integer number (2888190).

Almost surely, 261317240 is an apocalyptic number.

61317240 is a gapful number since it is divisible by the number (60) 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 61317240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92422080).

61317240 is an abundant number, since it is smaller than the sum of its proper divisors (123526920).

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

61317240 is a wasteful number, since it uses less digits than its factorization.

61317240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 61317240 is about 7830.5325489394. The cubic root of 61317240 is about 394.3309509414.

Adding to 61317240 its reverse (4271316), we get a palindrome (65588556).

The spelling of 61317240 in words is "sixty-one million, three hundred seventeen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1816 2251 2270 2724 3405 4502 4540 5448 6753 6810 9004 9080 11255 13506 13620 18008 22510 27012 27240 33765 45020 54024 67530 90040 135060 270120 510977 1021954 1532931 2043908 2554885 3065862 4087816 5109770 6131724 7664655 10219540 12263448 15329310 20439080 30658620 61317240