Search a number
-
+
93366420 = 223573171101
BaseRepresentation
bin1011001000010…
…10100010010100
320111200111122120
411210022202110
5142400211140
613133055540
72212413210
oct544124224
9214614576
1093366420
1148780634
12273275b0
1316460304
14c585940
1582e41d0
hex590a894

93366420 has 192 divisors, whose sum is σ = 315850752. Its totient is φ = 20160000.

The previous prime is 93366409. The next prime is 93366421. The reversal of 93366420 is 2466339.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93366421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924370 + ... + 924470.

It is an arithmetic number, because the mean of its divisors is an integer number (1645056).

Almost surely, 293366420 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 93366420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157925376).

93366420 is an abundant number, since it is smaller than the sum of its proper divisors (222484332).

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

93366420 is a wasteful number, since it uses less digits than its factorization.

93366420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 93366420 is about 9662.6300767441. The cubic root of 93366420 is about 453.6597358566.

The spelling of 93366420 in words is "ninety-three million, three hundred sixty-six thousand, four hundred twenty".