Search a number
-
+
232402040 = 235132311109
BaseRepresentation
bin11011101101000…
…10110001111000
3121012022020122222
431312202301320
5433443331130
635021103212
75521245653
oct1566426170
9535266588
10232402040
1110a204102
12659b7b08
13391c0700
1422c1889a
1515609ce5
hexdda2c78

232402040 has 96 divisors (see below), whose sum is σ = 585014400. Its totient is φ = 82967040.

The previous prime is 232402039. The next prime is 232402067. The reversal of 232402040 is 40204232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209006 + ... + 210114.

It is an arithmetic number, because the mean of its divisors is an integer number (6093900).

Almost surely, 2232402040 is an apocalyptic number.

232402040 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 232402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292507200).

232402040 is an abundant number, since it is smaller than the sum of its proper divisors (352612360).

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

232402040 is a wasteful number, since it uses less digits than its factorization.

232402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 232402040 is about 15244.7381086065. The cubic root of 232402040 is about 614.8181011833.

Adding to 232402040 its reverse (40204232), we get a palindrome (272606272).

The spelling of 232402040 in words is "two hundred thirty-two million, four hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 169 248 260 310 338 403 520 620 676 806 845 1109 1240 1352 1612 1690 2015 2218 3224 3380 4030 4436 5239 5545 6760 8060 8872 10478 11090 14417 16120 20956 22180 26195 28834 34379 41912 44360 52390 57668 68758 72085 104780 115336 137516 144170 171895 187421 209560 275032 288340 343790 374842 446927 576680 687580 749684 893854 937105 1375160 1499368 1787708 1874210 2234635 3575416 3748420 4469270 5810051 7496840 8938540 11620102 17877080 23240204 29050255 46480408 58100510 116201020 232402040