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113232432 = 24337103619
BaseRepresentation
bin1101011111111…
…00101000110000
321220001210200210
412233330220300
5212441414212
615122544120
72543313465
oct657745060
9256053623
10113232432
1158a0a225
1231b08040
131a5c7751
141107766c
159e1a53c
hex6bfca30

113232432 has 80 divisors (see below), whose sum is σ = 303829760. Its totient is φ = 36308736.

The previous prime is 113232421. The next prime is 113232437. The reversal of 113232432 is 234232311.

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 = 113232399 and 113232408.

It is not an unprimeable number, because it can be changed into a prime (113232437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182619 + ... + 183237.

It is an arithmetic number, because the mean of its divisors is an integer number (3797872).

Almost surely, 2113232432 is an apocalyptic number.

113232432 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 113232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151914880).

113232432 is an abundant number, since it is smaller than the sum of its proper divisors (190597328).

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

113232432 is a wasteful number, since it uses less digits than its factorization.

113232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

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

The square root of 113232432 is about 10641.0728782393. The cubic root of 113232432 is about 483.7900644528.

Adding to 113232432 its reverse (234232311), we get a palindrome (347464743).

The spelling of 113232432 in words is "one hundred thirteen million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 103 111 148 206 222 296 309 412 444 592 618 619 824 888 1236 1238 1648 1776 1857 2472 2476 3714 3811 4944 4952 7428 7622 9904 11433 14856 15244 22866 22903 29712 30488 45732 45806 60976 63757 68709 91464 91612 127514 137418 182928 183224 191271 255028 274836 366448 382542 510056 549672 765084 1020112 1099344 1530168 2359009 3060336 4718018 7077027 9436036 14154054 18872072 28308108 37744144 56616216 113232432