Search a number
-
+
232104040 = 23572321567
BaseRepresentation
bin11011101010110…
…10000001101000
3121011202002212221
431311122001220
5433404312130
635010443424
75515565110
oct1565320150
9534662787
10232104040
1110a020223
1265893574
1339117b8c
1422b7c040
151559b87a
hexdd5a068

232104040 has 96 divisors (see below), whose sum is σ = 624314880. Its totient is φ = 76070016.

The previous prime is 232104031. The next prime is 232104073. The reversal of 232104040 is 40401232.

It is an unprimeable number.

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, 147337 + ... + 148903.

It is an arithmetic number, because the mean of its divisors is an integer number (6503280).

Almost surely, 2232104040 is an apocalyptic number.

232104040 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 232104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312157440).

232104040 is an abundant number, since it is smaller than the sum of its proper divisors (392210840).

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

232104040 is a wasteful number, since it uses less digits than its factorization.

232104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232104040 is about 15234.9611092382. The cubic root of 232104040 is about 614.5552030892. Note that the first 3 decimals are identical.

Adding to 232104040 its reverse (40401232), we get a palindrome (272505272).

The spelling of 232104040 in words is "two hundred thirty-two million, one hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 529 644 805 920 1058 1288 1567 1610 2116 2645 3134 3220 3703 4232 5290 6268 6440 7406 7835 10580 10969 12536 14812 15670 18515 21160 21938 29624 31340 36041 37030 43876 54845 62680 72082 74060 87752 109690 144164 148120 180205 219380 252287 288328 360410 438760 504574 720820 828943 1009148 1261435 1441640 1657886 2018296 2522870 3315772 4144715 5045740 5802601 6631544 8289430 10091480 11605202 16578860 23210404 29013005 33157720 46420808 58026010 116052020 232104040