Search a number
-
+
93315400 = 23521134129
BaseRepresentation
bin1011000111111…
…10000101001000
320111120220122221
411203332011020
5142342043100
613132023424
72212111363
oct543760510
9214526587
1093315400
1148746272
1227301b74
1316443019
14c5710da
1582d401a
hex58fe148

93315400 has 48 divisors (see below), whose sum is σ = 218931300. Its totient is φ = 36986880.

The previous prime is 93315373. The next prime is 93315401. The reversal of 93315400 is 451339.

It can be written as a sum of positive squares in 6 ways, for example, as 10614564 + 82700836 = 3258^2 + 9094^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (93315401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20536 + ... + 24664.

Almost surely, 293315400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109465650).

93315400 is an abundant number, since it is smaller than the sum of its proper divisors (125615900).

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

93315400 is a wasteful number, since it uses less digits than its factorization.

93315400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 93315400 is about 9659.9896480276. The cubic root of 93315400 is about 453.5770868093.

Adding to 93315400 its reverse (451339), we get a palindrome (93766739).

The spelling of 93315400 in words is "ninety-three million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 2260 2825 4129 4520 5650 8258 11300 16516 20645 22600 33032 41290 82580 103225 165160 206450 412900 466577 825800 933154 1866308 2332885 3732616 4665770 9331540 11664425 18663080 23328850 46657700 93315400