Search a number
-
+
182974134 = 23725991039
BaseRepresentation
bin10101110011111…
…11011010110110
3110202022001022210
422321333122312
5333320133014
630053434250
74351153200
oct1271773266
9422261283
10182974134
11943141a2
125133b986
132bba5825
141a42d770
15110e4859
hexae7f6b6

182974134 has 48 divisors (see below), whose sum is σ = 426816000. Its totient is φ = 52140816.

The previous prime is 182974087. The next prime is 182974147. The reversal of 182974134 is 431479281.

It is a junction number, because it is equal to n+sod(n) for n = 182974092 and 182974101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175587 + ... + 176625.

It is an arithmetic number, because the mean of its divisors is an integer number (8892000).

Almost surely, 2182974134 is an apocalyptic number.

182974134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 182974134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213408000).

182974134 is an abundant number, since it is smaller than the sum of its proper divisors (243841866).

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

182974134 is a wasteful number, since it uses less digits than its factorization.

182974134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1650 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 182974134 is about 13526.7931898141. The cubic root of 182974134 is about 567.7143868401.

The spelling of 182974134 in words is "one hundred eighty-two million, nine hundred seventy-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 599 1039 1198 1797 2078 3117 3594 4193 6234 7273 8386 12579 14546 21819 25158 29351 43638 50911 58702 88053 101822 152733 176106 305466 622361 1244722 1867083 3734166 4356527 8713054 13069581 26139162 30495689 60991378 91487067 182974134