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231032040 = 2335171091039
BaseRepresentation
bin11011100010101…
…00010011101000
3121002201122101020
431301110103220
5433121011130
634531452440
75503511541
oct1561242350
9532648336
10231032040
11109458878
1265457120
1338b30c65
142297d4c8
1515438e10
hexdc544e8

231032040 has 128 divisors (see below), whose sum is σ = 741312000. Its totient is φ = 57397248.

The previous prime is 231032017. The next prime is 231032041. The reversal of 231032040 is 40230132.

231032040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (231032041) 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 31 ways as a sum of consecutive naturals, for example, 221841 + ... + 222879.

It is an arithmetic number, because the mean of its divisors is an integer number (5791500).

Almost surely, 2231032040 is an apocalyptic number.

231032040 is a gapful number since it is divisible by the number (20) 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 231032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370656000).

231032040 is an abundant number, since it is smaller than the sum of its proper divisors (510279960).

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

231032040 is a wasteful number, since it uses less digits than its factorization.

231032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 231032040 is about 15199.7381556394. The cubic root of 231032040 is about 613.6076107341.

Adding to 231032040 its reverse (40230132), we get a palindrome (271262172).

The spelling of 231032040 in words is "two hundred thirty-one million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 109 120 136 170 204 218 255 327 340 408 436 510 545 654 680 872 1020 1039 1090 1308 1635 1853 2040 2078 2180 2616 3117 3270 3706 4156 4360 5195 5559 6234 6540 7412 8312 9265 10390 11118 12468 13080 14824 15585 17663 18530 20780 22236 24936 27795 31170 35326 37060 41560 44472 52989 55590 62340 70652 74120 88315 105978 111180 113251 124680 141304 176630 211956 222360 226502 264945 339753 353260 423912 453004 529890 566255 679506 706520 906008 1059780 1132510 1359012 1698765 1925267 2119560 2265020 2718024 3397530 3850534 4530040 5775801 6795060 7701068 9626335 11551602 13590120 15402136 19252670 23103204 28879005 38505340 46206408 57758010 77010680 115516020 231032040