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78130741 = 1346113037
BaseRepresentation
bin1001010100000…
…10111000110101
312110000110020011
410222002320311
5130000140431
611430340221
71636046263
oct452027065
9173013204
1078130741
1140114867
12221ba671
1313257610
14a53b433
156cd4cb1
hex4a82e35

78130741 has 8 divisors (see below), whose sum is σ = 84329784. Its totient is φ = 71958720.

The previous prime is 78130729. The next prime is 78130751. The reversal of 78130741 is 14703187.

It can be written as a sum of positive squares in 4 ways, for example, as 2961841 + 75168900 = 1721^2 + 8670^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 78130741 - 25 = 78130709 is a prime.

It is a super-3 number, since 3×781307413 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78130711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526 + ... + 12511.

It is an arithmetic number, because the mean of its divisors is an integer number (10541223).

Almost surely, 278130741 is an apocalyptic number.

It is an amenable number.

78130741 is a deficient number, since it is larger than the sum of its proper divisors (6199043).

78130741 is a wasteful number, since it uses less digits than its factorization.

78130741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511.

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 78130741 is about 8839.1595188683. The cubic root of 78130741 is about 427.5044578494.

The spelling of 78130741 in words is "seventy-eight million, one hundred thirty thousand, seven hundred forty-one".

Divisors: 1 13 461 5993 13037 169481 6010057 78130741