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148716 = 223717
BaseRepresentation
bin100100010011101100
321120000000
4210103230
514224331
63104300
71156401
oct442354
9246000
10148716
11a1807
1272090
13528c9
143c2a8
152e0e6
hex244ec

148716 has 48 divisors (see below), whose sum is σ = 413280. Its totient is φ = 46656.

The previous prime is 148711. The next prime is 148721. The reversal of 148716 is 617841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148711) and next prime (148721).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1344) is a multiple of the sum of its prime factors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 148716.

It is not an unprimeable number, because it can be changed into a prime (148711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8740 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (8610).

148716 is a Friedman number, since it can be written as 68*(4-1*1)^7, using all its digits and the basic arithmetic operations.

2148716 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 148716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206640).

148716 is an abundant number, since it is smaller than the sum of its proper divisors (264564).

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

148716 is an equidigital number, since it uses as much as digits as its factorization.

148716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 148716 is about 385.6371351413. The cubic root of 148716 is about 52.9808878520.

The spelling of 148716 in words is "one hundred forty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2187 2754 2916 4131 4374 5508 8262 8748 12393 16524 24786 37179 49572 74358 148716