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231752040 = 233513532803
BaseRepresentation
bin11011101000001…
…00000101101000
3121011002020000220
431310010011220
5433312031130
634555130040
75512600632
oct1564040550
9534066026
10231752040
111098aa813
1265743920
13390238b0
1422ac9a52
151552c410
hexdd04168

231752040 has 128 divisors (see below), whose sum is σ = 763136640. Its totient is φ = 55950336.

The previous prime is 231752033. The next prime is 231752083. The reversal of 231752040 is 40257132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231752040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81279 + ... + 84081.

It is an arithmetic number, because the mean of its divisors is an integer number (5962005).

Almost surely, 2231752040 is an apocalyptic number.

231752040 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 231752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381568320).

231752040 is an abundant number, since it is smaller than the sum of its proper divisors (531384600).

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

231752040 is a wasteful number, since it uses less digits than its factorization.

231752040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 231752040 is about 15223.4043498818. The cubic root of 231752040 is about 614.2443756982.

The spelling of 231752040 in words is "two hundred thirty-one million, seven hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1560 1590 2067 2120 2756 2803 3180 3445 4134 5512 5606 6360 6890 8268 8409 10335 11212 13780 14015 16536 16818 20670 22424 27560 28030 33636 36439 41340 42045 56060 67272 72878 82680 84090 109317 112120 145756 148559 168180 182195 218634 291512 297118 336360 364390 437268 445677 546585 594236 728780 742795 874536 891354 1093170 1188472 1457560 1485590 1782708 1931267 2186340 2228385 2971180 3565416 3862534 4372680 4456770 5793801 5942360 7725068 8913540 9656335 11587602 15450136 17827080 19312670 23175204 28969005 38625340 46350408 57938010 77250680 115876020 231752040