Search a number
-
+
145930176 = 26327172129
BaseRepresentation
bin10001011001010…
…11011111000000
3101011121000120100
420230223133000
5244324231201
622251442400
73421246260
oct1054533700
9334530510
10145930176
1175412557
1240a56400
1324305622
14155497a0
15cc28886
hex8b2b7c0

145930176 has 168 divisors, whose sum is σ = 506394720. Its totient is φ = 39223296.

The previous prime is 145930129. The next prime is 145930189. The reversal of 145930176 is 671039541.

145930176 is a `hidden beast` number, since 1 + 459 + 30 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145930176.

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 23 ways as a sum of consecutive naturals, for example, 67480 + ... + 69608.

Almost surely, 2145930176 is an apocalyptic number.

145930176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145930176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253197360).

145930176 is an abundant number, since it is smaller than the sum of its proper divisors (360464544).

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

145930176 is a wasteful number, since it uses less digits than its factorization.

145930176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 145930176 is about 12080.1562903797. The cubic root of 145930176 is about 526.4797869963.

The spelling of 145930176 in words is "one hundred forty-five million, nine hundred thirty thousand, one hundred seventy-six".