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147306769 = 5322292
BaseRepresentation
bin10001100011110…
…11100100010001
3101021011221220021
420301323210101
5300202304034
622341143441
73436041541
oct1061734421
9337157807
10147306769
1176172835
12413bab81
132469808c
14157c7321
15cdeb6b4
hex8c7b911

147306769 has 9 divisors (see below), whose sum is σ = 150797073. Its totient is φ = 143896272.

The previous prime is 147306767. The next prime is 147306781. The reversal of 147306769 is 967603741.

The square root of 147306769 is 12137.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 68310225 + 78996544 = 8265^2 + 8888^2 .

It is not a de Polignac number, because 147306769 - 21 = 147306767 is a prime.

It is a super-2 number, since 2×1473067692 = 43398568386438722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147306763) 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 8 ways as a sum of consecutive naturals, for example, 643147 + ... + 643375.

Almost surely, 2147306769 is an apocalyptic number.

147306769 is the 12137-th square number.

147306769 is the 6069-th centered octagonal number.

It is an amenable number.

147306769 is a deficient number, since it is larger than the sum of its proper divisors (3490304).

147306769 is an frugal number, since it uses more digits than its factorization.

147306769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The cubic root of 147306769 is about 528.1300770447.

It can be divided in two parts, 147 and 306769, that added together give a square (306916 = 5542).

The spelling of 147306769 in words is "one hundred forty-seven million, three hundred six thousand, seven hundred sixty-nine".

Divisors: 1 53 229 2809 12137 52441 643261 2779373 147306769