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149396 = 2213317
BaseRepresentation
bin100100011110010100
321120221012
4210132110
514240041
63111352
71161362
oct443624
9246835
10149396
11a2275
1272558
1353000
143c632
152e3eb
hex24794

149396 has 24 divisors (see below), whose sum is σ = 299880. Its totient is φ = 64896.

The previous prime is 149393. The next prime is 149399. The reversal of 149396 is 693941.

It is an interprime number because it is at equal distance from previous prime (149393) and next prime (149399).

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 122500 = 164^2 + 350^2 .

It is an Ulam number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8780 + ... + 8796.

It is an arithmetic number, because the mean of its divisors is an integer number (12495).

149396 is a Friedman number, since it can be written as (9+4)^3*(69-1), using all its digits and the basic arithmetic operations.

2149396 is an apocalyptic number.

It is an amenable number.

149396 is an abundant number, since it is smaller than the sum of its proper divisors (150484).

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

149396 is a wasteful number, since it uses less digits than its factorization.

149396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 32 counting only the distinct ones).

The product of its digits is 5832, while the sum is 32.

The square root of 149396 is about 386.5177874303. The cubic root of 149396 is about 53.0615163249.

It can be divided in two parts, 149 and 396, that added together give a palindrome (545).

The spelling of 149396 in words is "one hundred forty-nine thousand, three hundred ninety-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 338 442 676 884 2197 2873 4394 5746 8788 11492 37349 74698 149396