Search a number
-
+
147301056 = 26327217307
BaseRepresentation
bin10001100011110…
…10001011000000
3101021011200001200
420301322023000
5300202113211
622341101200
73436016100
oct1061721300
9337150050
10147301056
1176169511
12413b7800
13246955b6
14157c5200
15cde9b56
hex8c7a2c0

147301056 has 252 divisors, whose sum is σ = 521729208. Its totient is φ = 39481344.

The previous prime is 147301051. The next prime is 147301061. The reversal of 147301056 is 650103741.

It is an interprime number because it is at equal distance from previous prime (147301051) and next prime (147301061).

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (147301051) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 479655 + ... + 479961.

It is an arithmetic number, because the mean of its divisors is an integer number (2070354).

Almost surely, 2147301056 is an apocalyptic number.

147301056 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 147301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260864604).

147301056 is an abundant number, since it is smaller than the sum of its proper divisors (374428152).

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

147301056 is a wasteful number, since it uses less digits than its factorization.

147301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 147301056 is about 12136.7646430175. The cubic root of 147301056 is about 528.1232494649.

Adding to 147301056 its reverse (650103741), we get a palindrome (797404797).

The spelling of 147301056 in words is "one hundred forty-seven million, three hundred one thousand, fifty-six".