Search a number
-
+
123232032 = 25327115557
BaseRepresentation
bin1110101100001…
…01111100100000
322120212211120100
413112011330200
5223021411112
620121142400
73024312030
oct726057440
9276784510
10123232032
116361a060
123532aa00
131c6b9081
141251b8c0
15ac432dc
hex7585f20

123232032 has 144 divisors (see below), whose sum is σ = 436992192. Its totient is φ = 32002560.

The previous prime is 123232027. The next prime is 123232033. The reversal of 123232032 is 230232321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1232320322 = 30372267421698048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123231996 and 123232014.

It is not an unprimeable number, because it can be changed into a prime (123232033) 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 23 ways as a sum of consecutive naturals, for example, 19398 + ... + 24954.

It is an arithmetic number, because the mean of its divisors is an integer number (3034668).

Almost surely, 2123232032 is an apocalyptic number.

123232032 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 123232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218496096).

123232032 is an abundant number, since it is smaller than the sum of its proper divisors (313760160).

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

123232032 is a wasteful number, since it uses less digits than its factorization.

123232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 123232032 is about 11100.9923880705. The cubic root of 123232032 is about 497.6315075358.

Adding to 123232032 its reverse (230232321), we get a palindrome (353464353).

The spelling of 123232032 in words is "one hundred twenty-three million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 5557 7392 11088 11114 16671 22176 22228 33342 38899 44456 50013 61127 66684 77798 88912 100026 116697 122254 133368 155596 177824 183381 200052 233394 244508 266736 311192 350091 366762 400104 427889 466788 489016 533472 550143 622384 700182 733524 800208 855778 933576 978032 1100286 1244768 1283667 1400364 1467048 1600416 1711556 1867152 1956064 2200572 2567334 2800728 2934096 3423112 3734304 3851001 4401144 5134668 5601456 5868192 6846224 7702002 8802288 10269336 11202912 13692448 15404004 17604576 20538672 30808008 41077344 61616016 123232032