Search a number
-
+
123828732 = 22327347119
BaseRepresentation
bin1110110000101…
…11100111111100
322122000011002100
413120113213330
5223200004412
620142025100
73032345466
oct730274774
9278004070
10123828732
11639973a5
1235578190
131c867851
1412635136
15ad0eedc
hex76179fc

123828732 has 36 divisors (see below), whose sum is σ = 317306080. Its totient is φ = 40709952.

The previous prime is 123828721. The next prime is 123828737. The reversal of 123828732 is 237828321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123828737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20932 + ... + 26187.

Almost surely, 2123828732 is an apocalyptic number.

123828732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123828732 is an abundant number, since it is smaller than the sum of its proper divisors (193477348).

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

123828732 is a wasteful number, since it uses less digits than its factorization.

123828732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47202 (or 47197 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 123828732 is about 11127.8359082078. The cubic root of 123828732 is about 498.4334060263.

The spelling of 123828732 in words is "one hundred twenty-three million, eight hundred twenty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 47119 94238 141357 188476 282714 424071 565428 848142 1696284 3439687 6879374 10319061 13758748 20638122 30957183 41276244 61914366 123828732