Search a number
-
+
145326960 = 2434541547
BaseRepresentation
bin10001010100110…
…00001101110000
3101010110101010000
420222120031300
5244200430320
622230510000
73413154522
oct1052301560
9333411100
10145326960
1175040329
1240805300
1324153bac
141542da12
15cb59c90
hex8a98370

145326960 has 200 divisors, whose sum is σ = 517998096. Its totient is φ = 37739520.

The previous prime is 145326913. The next prime is 145326983. The reversal of 145326960 is 69623541.

It is a happy number.

145326960 is a `hidden beast` number, since 1 + 4 + 532 + 69 + 60 = 666.

It is a super-2 number, since 2×1453269602 = 42239850605683200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 265407 + ... + 265953.

Almost surely, 2145326960 is an apocalyptic number.

145326960 is a gapful number since it is divisible by the number (10) 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 145326960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258999048).

145326960 is an abundant number, since it is smaller than the sum of its proper divisors (372671136).

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

145326960 is a wasteful number, since it uses less digits than its factorization.

145326960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

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

The square root of 145326960 is about 12055.1632091814. The cubic root of 145326960 is about 525.7533673912.

The spelling of 145326960 in words is "one hundred forty-five million, three hundred twenty-six thousand, nine hundred sixty".