Search a number
-
+
10738134 = 23211193281
BaseRepresentation
bin101000111101…
…100111010110
3202012112221200
4220331213112
510222110014
61022053330
7160162341
oct50754726
922175850
1010738134
1160747a0
12371a246
1322bc834
1415d7458
15e21a09
hexa3d9d6

10738134 has 48 divisors (see below), whose sum is σ = 25603344. Its totient is φ = 3225600.

The previous prime is 10738127. The next prime is 10738139. The reversal of 10738134 is 43183701.

It is a junction number, because it is equal to n+sod(n) for n = 10738098 and 10738107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10738139) 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, 38074 + ... + 38354.

It is an arithmetic number, because the mean of its divisors is an integer number (533403).

Almost surely, 210738134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10738134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801672).

10738134 is an abundant number, since it is smaller than the sum of its proper divisors (14865210).

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

10738134 is a wasteful number, since it uses less digits than its factorization.

10738134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10738134 is about 3276.9092144886. The cubic root of 10738134 is about 220.6190142213.

The spelling of 10738134 in words is "ten million, seven hundred thirty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 193 198 281 386 562 579 843 1158 1686 1737 2123 2529 3091 3474 4246 5058 6182 6369 9273 12738 18546 19107 27819 38214 54233 55638 108466 162699 325398 488097 596563 976194 1193126 1789689 3579378 5369067 10738134