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148932 = 22337197
BaseRepresentation
bin100100010111000100
321120022000
4210113010
514231212
63105300
71160130
oct442704
9246260
10148932
11a1993
1272230
1352a34
143c3c0
152e1dc
hex245c4

148932 has 48 divisors (see below), whose sum is σ = 443520. Its totient is φ = 42336.

The previous prime is 148931. The next prime is 148933. The reversal of 148932 is 239841.

It is an interprime number because it is at equal distance from previous prime (148931) and next prime (148933).

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

It is a junction number, because it is equal to n+sod(n) for n = 148896 and 148905.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148932.

It is not an unprimeable number, because it can be changed into a prime (148931) 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 15 ways as a sum of consecutive naturals, for example, 658 + ... + 854.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2148932 is an apocalyptic number.

148932 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 148932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760).

148932 is an abundant number, since it is smaller than the sum of its proper divisors (294588).

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

148932 is a wasteful number, since it uses less digits than its factorization.

148932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 148932 is about 385.9170895413. The cubic root of 148932 is about 53.0065258370.

Subtracting 148932 from its reverse (239841), we obtain a palindrome (90909).

It can be divided in two parts, 1489 and 32, that added together give a square (1521 = 392).

The spelling of 148932 in words is "one hundred forty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 197 252 378 394 591 756 788 1182 1379 1773 2364 2758 3546 4137 5319 5516 7092 8274 10638 12411 16548 21276 24822 37233 49644 74466 148932