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76014260 = 22572292371
BaseRepresentation
bin1001000011111…
…10001010110100
312022000220221222
410201332022310
5123424424020
611313125512
71612052630
oct441761264
9168026858
1076014260
11399a9703
1221559898
131299616a
14a149dc0
156a17b25
hex487e2b4

76014260 has 48 divisors (see below), whose sum is σ = 183308160. Its totient is φ = 25937280.

The previous prime is 76014251. The next prime is 76014283. The reversal of 76014260 is 6241067.

It is a congruent number.

It is an unprimeable number.

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, 30875 + ... + 33245.

It is an arithmetic number, because the mean of its divisors is an integer number (3818920).

Almost surely, 276014260 is an apocalyptic number.

76014260 is a gapful number since it is divisible by the number (70) 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 76014260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91654080).

76014260 is an abundant number, since it is smaller than the sum of its proper divisors (107293900).

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

76014260 is a wasteful number, since it uses less digits than its factorization.

76014260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 76014260 is about 8718.6157158118. The cubic root of 76014260 is about 423.6088492443.

The spelling of 76014260 in words is "seventy-six million, fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 2290 2371 3206 4580 4742 6412 8015 9484 11855 16030 16597 23710 32060 33194 47420 66388 82985 165970 331940 542959 1085918 2171836 2714795 3800713 5429590 7601426 10859180 15202852 19003565 38007130 76014260