Search a number
-
+
146953134 = 23217563853
BaseRepresentation
bin10001100001001…
…01001110101110
3101020111222210200
420300211032232
5300110000014
622325414330
73433036536
oct1060451656
9336458720
10146953134
1175a51079
124126a3a6
13245a3123
14157344c6
15cd7ba09
hex8c253ae

146953134 has 48 divisors (see below), whose sum is σ = 338122512. Its totient is φ = 45967104.

The previous prime is 146953133. The next prime is 146953171. The reversal of 146953134 is 431359641.

146953134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146953133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 171852 + ... + 172704.

It is an arithmetic number, because the mean of its divisors is an integer number (7044219).

Almost surely, 2146953134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146953134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169061256).

146953134 is an abundant number, since it is smaller than the sum of its proper divisors (191169378).

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

146953134 is a wasteful number, since it uses less digits than its factorization.

146953134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1438 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 146953134 is about 12122.4227776464. The cubic root of 146953134 is about 527.7071163198.

The spelling of 146953134 in words is "one hundred forty-six million, nine hundred fifty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 563 853 1126 1689 1706 2559 3378 5067 5118 7677 9571 10134 14501 15354 19142 28713 29002 43503 57426 86139 87006 130509 172278 261018 480239 960478 1440717 2881434 4322151 8164063 8644302 16328126 24492189 48984378 73476567 146953134