Search a number
-
+
93066300 = 22335234469
BaseRepresentation
bin1011000110000…
…01010000111100
320111010020222000
411203001100330
5142311110200
613122422300
72210023215
oct543012074
9214106860
1093066300
11485960a8
1227201990
1316386822
14c50840c
158285300
hex58c143c

93066300 has 72 divisors (see below), whose sum is σ = 299199600. Its totient is φ = 24816960.

The previous prime is 93066299. The next prime is 93066301. The reversal of 93066300 is 366039.

It is an interprime number because it is at equal distance from previous prime (93066299) and next prime (93066301).

It is a super-2 number, since 2×930663002 = 17322672391380000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93066301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14535 + ... + 19934.

It is an arithmetic number, because the mean of its divisors is an integer number (4155550).

Almost surely, 293066300 is an apocalyptic number.

93066300 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93066300 is an abundant number, since it is smaller than the sum of its proper divisors (206133300).

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

93066300 is a wasteful number, since it uses less digits than its factorization.

93066300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34492 (or 34479 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 93066300 is about 9647.0876434290. The cubic root of 93066300 is about 453.1731279835.

The spelling of 93066300 in words is "ninety-three million, sixty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 34469 68938 103407 137876 172345 206814 310221 344690 413628 517035 620442 689380 861725 930663 1034070 1240884 1551105 1723450 1861326 2068140 2585175 3102210 3446900 3722652 4653315 5170350 6204420 7755525 9306630 10340700 15511050 18613260 23266575 31022100 46533150 93066300