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93405420 = 22335172973
BaseRepresentation
bin1011001000101…
…00000011101100
320111202111011000
411210110003230
5142402433140
613134000300
72212635003
oct544240354
9214674130
1093405420
11487a7969
1227346090
1316474ca4
14c595c3a
158300a30
hex59140ec

93405420 has 48 divisors (see below), whose sum is σ = 290596320. Its totient is φ = 24907968.

The previous prime is 93405419. The next prime is 93405439. The reversal of 93405420 is 2450439.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85947 + ... + 87026.

It is an arithmetic number, because the mean of its divisors is an integer number (6054090).

Almost surely, 293405420 is an apocalyptic number.

93405420 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93405420 is an abundant number, since it is smaller than the sum of its proper divisors (197190900).

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

93405420 is a wasteful number, since it uses less digits than its factorization.

93405420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172991 (or 172983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 93405420 is about 9664.6479501325. The cubic root of 93405420 is about 453.7228929917.

Adding to 93405420 its reverse (2450439), we get a palindrome (95855859).

The spelling of 93405420 in words is "ninety-three million, four hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 172973 345946 518919 691892 864865 1037838 1556757 1729730 2075676 2594595 3113514 3459460 4670271 5189190 6227028 7783785 9340542 10378380 15567570 18681084 23351355 31135140 46702710 93405420