Search a number
-
+
123213432 = 23318732741
BaseRepresentation
bin1110101100000…
…01011001111000
322120211220001110
413112001121320
5223020312212
620120520320
73024203556
oct726013170
9276756043
10123213432
1163607091
12353200a0
131c6b0774
1412514bd6
15ac3ca3c
hex7581678

123213432 has 32 divisors (see below), whose sum is σ = 308310480. Its totient is φ = 41034240.

The previous prime is 123213427. The next prime is 123213439. The reversal of 123213432 is 234312321.

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

It is a junction number, because it is equal to n+sod(n) for n = 123213399 and 123213408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123213439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43582 + ... + 46322.

Almost surely, 2123213432 is an apocalyptic number.

123213432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123213432 is an abundant number, since it is smaller than the sum of its proper divisors (185097048).

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

123213432 is a wasteful number, since it uses less digits than its factorization.

123213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4619 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 123213432 is about 11100.1545935181. The cubic root of 123213432 is about 497.6064696415.

Adding to 123213432 its reverse (234312321), we get a palindrome (357525753).

It can be divided in two parts, 12321 and 3432, that added together give a triangular number (15753 = T177).

The spelling of 123213432 in words is "one hundred twenty-three million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1873 2741 3746 5482 5619 7492 8223 10964 11238 14984 16446 21928 22476 32892 44952 65784 5133893 10267786 15401679 20535572 30803358 41071144 61606716 123213432