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148369 = 13101113
BaseRepresentation
bin100100001110010001
321112112011
4210032101
514221434
63102521
71155364
oct441621
9245464
10148369
11a1521
1271a41
13526c0
143c0db
152de64
hex24391

148369 has 8 divisors (see below), whose sum is σ = 162792. Its totient is φ = 134400.

The previous prime is 148367. The next prime is 148381. The reversal of 148369 is 963841.

148369 = T67 + T68 + ... + T105.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 144400 = 63^2 + 380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 148369 - 21 = 148367 is a prime.

It is a super-2 number, since 2×1483692 = 44026720322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 148369.

It is not an unprimeable number, because it can be changed into a prime (148361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1257 + ... + 1369.

It is an arithmetic number, because the mean of its divisors is an integer number (20349).

2148369 is an apocalyptic number.

It is an amenable number.

148369 is a deficient number, since it is larger than the sum of its proper divisors (14423).

148369 is a wasteful number, since it uses less digits than its factorization.

148369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its digits is 5184, while the sum is 31.

The square root of 148369 is about 385.1869675885. The cubic root of 148369 is about 52.9396488787.

The spelling of 148369 in words is "one hundred forty-eight thousand, three hundred sixty-nine".

Divisors: 1 13 101 113 1313 1469 11413 148369