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93389940 = 223257194783
BaseRepresentation
bin1011001000100…
…00010001110100
320111201200220200
411210100101310
5142401434230
613133400500
72212541610
oct544202164
9214650820
1093389940
1148797276
1227339130
131646ac27
14c590340
1582eb160
hex5910474

93389940 has 288 divisors, whose sum is σ = 352235520. Its totient is φ = 19554048.

The previous prime is 93389927. The next prime is 93389969. The reversal of 93389940 is 4998339.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1125139 + ... + 1125221.

It is an arithmetic number, because the mean of its divisors is an integer number (1223040).

Almost surely, 293389940 is an apocalyptic number.

93389940 is a gapful number since it is divisible by the number (90) 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 93389940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

93389940 is an abundant number, since it is smaller than the sum of its proper divisors (258845580).

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

93389940 is a wasteful number, since it uses less digits than its factorization.

93389940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 93389940 is about 9663.8470600481. The cubic root of 93389940 is about 453.6978265718.

The spelling of 93389940 in words is "ninety-three million, three hundred eighty-nine thousand, nine hundred forty".