Search a number
-
+
93333420 = 22325737103
BaseRepresentation
bin1011001000000…
…10011110101100
320111121211101100
411210002132230
5142343132140
613132243100
72212215045
oct544023654
9214554340
1093333420
1148758864
1227310490
131644b29b
14c5778cc
1582d9530
hex59027ac

93333420 has 72 divisors (see below), whose sum is σ = 287030016. Its totient is φ = 24544512.

The previous prime is 93333413. The next prime is 93333421. The reversal of 93333420 is 2433339.

It is a super-2 number, since 2×933334202 = 17422254577792800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93333421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9589 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (3986528).

Almost surely, 293333420 is an apocalyptic number.

93333420 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 93333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143515008).

93333420 is an abundant number, since it is smaller than the sum of its proper divisors (193696596).

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

93333420 is a wasteful number, since it uses less digits than its factorization.

93333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 93333420 is about 9660.9223162181. The cubic root of 93333420 is about 453.6062814654.

Adding to 93333420 its reverse (2433339), we get a palindrome (95766759).

The spelling of 93333420 in words is "ninety-three million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 7103 13140 14206 21309 28412 35515 42618 63927 71030 85236 106545 127854 142060 213090 255708 319635 426180 518519 639270 1037038 1278540 1555557 2074076 2592595 3111114 4666671 5185190 6222228 7777785 9333342 10370380 15555570 18666684 23333355 31111140 46666710 93333420