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123387432 = 23378572
BaseRepresentation
bin1110101101010…
…11111000101000
322121011201201220
413112223320220
5223041344212
620124342040
73025530060
oct726537050
9277151656
10123387432
1163715893
12353a4920
131c741a1c
141255c3a0
15ac7438c
hex75abe28

123387432 has 48 divisors (see below), whose sum is σ = 352947360. Its totient is φ = 35212416.

The previous prime is 123387427. The next prime is 123387443. The reversal of 123387432 is 234783321.

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 = 123387393 and 123387402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143548 + ... + 144404.

It is an arithmetic number, because the mean of its divisors is an integer number (7353070).

Almost surely, 2123387432 is an apocalyptic number.

123387432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123387432 is an abundant number, since it is smaller than the sum of its proper divisors (229559928).

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

123387432 is an frugal number, since it uses more digits than its factorization.

123387432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 869 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 123387432 is about 11107.9895570711. The cubic root of 123387432 is about 497.8405967140.

Multiplying 123387432 by its product of digits (24192), we get a square (2984988754944 = 17277122).

The spelling of 123387432 in words is "one hundred twenty-three million, three hundred eighty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 857 1714 2571 3428 5142 5999 6856 10284 11998 17997 20568 23996 35994 47992 71988 143976 734449 1468898 2203347 2937796 4406694 5141143 5875592 8813388 10282286 15423429 17626776 20564572 30846858 41129144 61693716 123387432