Search a number
-
+
148632 = 23311563
BaseRepresentation
bin100100010010011000
321112212220
4210102120
514224012
63104040
71156221
oct442230
9245786
10148632
11a1740
1272020
1352863
143c248
152e08c
hex24498

148632 has 32 divisors (see below), whose sum is σ = 406080. Its totient is φ = 44960.

The previous prime is 148627. The next prime is 148633. The reversal of 148632 is 236841.

Subtracting 148632 from its reverse (236841), we obtain a square (88209 = 2972).

It can be divided in two parts, 148 and 632, that added together give a triangular number (780 = T39).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148632.

It is not an unprimeable number, because it can be changed into a prime (148633) 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, 18 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (12690).

2148632 is an apocalyptic number.

148632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203040).

148632 is an abundant number, since it is smaller than the sum of its proper divisors (257448).

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

148632 is a wasteful number, since it uses less digits than its factorization.

148632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 579 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 148632 is about 385.5282090846. The cubic root of 148632 is about 52.9709108202.

The spelling of 148632 in words is "one hundred forty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 563 1126 1689 2252 3378 4504 6193 6756 12386 13512 18579 24772 37158 49544 74316 148632