Search a number
-
+
91106334 = 232113114843
BaseRepresentation
bin1010110111000…
…10110000011110
320100102200101200
411123202300132
5141310400314
613012420330
72154251064
oct533426036
9210380350
1091106334
11474775a0
12266176a6
1315b4b697
14c158034
157ee9709
hex56e2c1e

91106334 has 48 divisors (see below), whose sum is σ = 222303744. Its totient is φ = 26715600.

The previous prime is 91106333. The next prime is 91106357. The reversal of 91106334 is 43360119.

It is a junction number, because it is equal to n+sod(n) for n = 91106298 and 91106307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91106333) 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, 1284 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (4631328).

Almost surely, 291106334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91106334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111151872).

91106334 is an abundant number, since it is smaller than the sum of its proper divisors (131197410).

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

91106334 is a wasteful number, since it uses less digits than its factorization.

91106334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14893 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 91106334 is about 9544.9638029696. The cubic root of 91106334 is about 449.9692719759.

The spelling of 91106334 in words is "ninety-one million, one hundred six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 14843 29686 44529 89058 133587 163273 267174 326546 460133 489819 920266 979638 1380399 1469457 2760798 2938914 4141197 5061463 8282394 10122926 15184389 30368778 45553167 91106334