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148368 = 24311281
BaseRepresentation
bin100100001110010000
321112112010
4210032100
514221433
63102520
71155363
oct441620
9245463
10148368
11a1520
1271a40
13526bc
143c0da
152de63
hex24390

148368 has 40 divisors (see below), whose sum is σ = 419616. Its totient is φ = 44800.

The previous prime is 148367. The next prime is 148381. The reversal of 148368 is 863841.

It can be divided in two parts, 1483 and 68, that added together give a palindrome (1551).

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148361) 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, 388 + ... + 668.

2148368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209808).

148368 is an abundant number, since it is smaller than the sum of its proper divisors (271248).

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

148368 is a wasteful number, since it uses less digits than its factorization.

148368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 148368 is about 385.1856695154. The cubic root of 148368 is about 52.9395299415.

The spelling of 148368 in words is "one hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 281 528 562 843 1124 1686 2248 3091 3372 4496 6182 6744 9273 12364 13488 18546 24728 37092 49456 74184 148368