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93480114 = 23713199011
BaseRepresentation
bin1011001001001…
…10010010110010
320111220021121110
411210212102302
5142412330424
613135334150
72213365530
oct544462262
9214807543
1093480114
1148848aa2
1227381356
131649cca0
14c5b5150
158317c29
hex59264b2

93480114 has 64 divisors (see below), whose sum is σ = 242242560. Its totient is φ = 23353920.

The previous prime is 93480113. The next prime is 93480139. The reversal of 93480114 is 41108439.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (93480113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5869 + ... + 14879.

It is an arithmetic number, because the mean of its divisors is an integer number (3785040).

Almost surely, 293480114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93480114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121121280).

93480114 is an abundant number, since it is smaller than the sum of its proper divisors (148762446).

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

93480114 is a wasteful number, since it uses less digits than its factorization.

93480114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 93480114 is about 9668.5114676459. The cubic root of 93480114 is about 453.8438044192.

The spelling of 93480114 in words is "ninety-three million, four hundred eighty thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 3458 5187 9011 10374 18022 27033 54066 63077 117143 126154 171209 189231 234286 342418 351429 378462 513627 702858 820001 1027254 1198463 1640002 2225717 2396926 2460003 3595389 4451434 4920006 6677151 7190778 13354302 15580019 31160038 46740057 93480114