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230520540 = 223519433467
BaseRepresentation
bin11011011110101…
…11011011011100
3121001202122201210
431233113123130
5433003124130
634512504420
75466251355
oct1557273334
9531678653
10230520540
11109139548
126524b110
13389b21b3
1422888d2c
15153875b0
hexdbd76dc

230520540 has 96 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 57977856.

The previous prime is 230520533. The next prime is 230520553. The reversal of 230520540 is 45025032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493387 + ... + 493853.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2230520540 is an apocalyptic number.

230520540 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 230520540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

230520540 is an abundant number, since it is smaller than the sum of its proper divisors (451935780).

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

230520540 is a wasteful number, since it uses less digits than its factorization.

230520540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 230520540 is about 15182.9028844948. The cubic root of 230520540 is about 613.1544380848.

Adding to 230520540 its reverse (45025032), we get a palindrome (275545572).

The spelling of 230520540 in words is "two hundred thirty million, five hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 433 467 570 866 934 1140 1299 1401 1732 1868 2165 2335 2598 2802 4330 4670 5196 5604 6495 7005 8227 8660 8873 9340 12990 14010 16454 17746 24681 25980 26619 28020 32908 35492 41135 44365 49362 53238 82270 88730 98724 106476 123405 133095 164540 177460 202211 246810 266190 404422 493620 532380 606633 808844 1011055 1213266 2022110 2426532 3033165 3842009 4044220 6066330 7684018 11526027 12132660 15368036 19210045 23052054 38420090 46104108 57630135 76840180 115260270 230520540