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230736940 = 225773107211
BaseRepresentation
bin11011100000011…
…00010000101100
3121002011122120121
431300030100230
5433032040230
634521254324
75501142310
oct1560142054
9532148517
10230736940
11109277095
12653343a4
1338a59845
1422903b40
15153cb77a
hexdc0c42c

230736940 has 96 divisors (see below), whose sum is σ = 569286144. Its totient is φ = 76930560.

The previous prime is 230736917. The next prime is 230736973. The reversal of 230736940 is 49637032.

It is a junction number, because it is equal to n+sod(n) for n = 230736896 and 230736905.

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, 1093435 + ... + 1093645.

It is an arithmetic number, because the mean of its divisors is an integer number (5930064).

Almost surely, 2230736940 is an apocalyptic number.

230736940 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 230736940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284643072).

230736940 is an abundant number, since it is smaller than the sum of its proper divisors (338549204).

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

230736940 is a wasteful number, since it uses less digits than its factorization.

230736940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 230736940 is about 15190.0276497444. The cubic root of 230736940 is about 613.3462432958.

The spelling of 230736940 in words is "two hundred thirty million, seven hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 107 140 146 211 214 292 365 422 428 511 535 730 749 844 1022 1055 1070 1460 1477 1498 2044 2110 2140 2555 2954 2996 3745 4220 5110 5908 7385 7490 7811 10220 14770 14980 15403 15622 22577 29540 30806 31244 39055 45154 54677 61612 77015 78110 90308 107821 109354 112885 154030 156220 158039 215642 218708 225770 273385 308060 316078 431284 451540 539105 546770 632156 790195 1078210 1093540 1580390 1648121 2156420 3160780 3296242 6592484 8240605 11536847 16481210 23073694 32962420 46147388 57684235 115368470 230736940