Search a number
-
+
10993158 = 2341131199
BaseRepresentation
bin101001111011…
…111000000110
3202200111210000
4221323320012
510303240113
61031342130
7162304011
oct51737006
922614700
1010993158
116229360
123821946
13237b937
141662378
15e72373
hexa7be06

10993158 has 80 divisors (see below), whose sum is σ = 27878400. Its totient is φ = 3207600.

The previous prime is 10993141. The next prime is 10993187. The reversal of 10993158 is 85139901.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 55143 + ... + 55341.

It is an arithmetic number, because the mean of its divisors is an integer number (348480).

Almost surely, 210993158 is an apocalyptic number.

10993158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10993158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939200).

10993158 is an abundant number, since it is smaller than the sum of its proper divisors (16885242).

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

10993158 is a wasteful number, since it uses less digits than its factorization.

10993158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 10993158 is about 3315.5931596021. The cubic root of 10993158 is about 222.3518889728.

The spelling of 10993158 in words is "ten million, nine hundred ninety-three thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 81 93 99 162 186 198 199 279 297 341 398 558 594 597 682 837 891 1023 1194 1674 1782 1791 2046 2189 2511 3069 3582 4378 5022 5373 6138 6169 6567 9207 10746 12338 13134 16119 18414 18507 19701 27621 32238 37014 39402 55242 55521 59103 67859 111042 118206 135718 166563 177309 203577 333126 354618 407154 499689 610731 999378 1221462 1832193 3664386 5496579 10993158