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230003040 = 2535539041
BaseRepresentation
bin11011011010110…
…01000101100000
3121000210100212010
431231121011200
5432340044130
634453432520
75461664541
oct1555310540
9530710763
10230003040
11108915763
126503b740
1338860797
14227924c8
15152d40b0
hexdb59160

230003040 has 96 divisors (see below), whose sum is σ = 738261216. Its totient is φ = 60170240.

The previous prime is 230003023. The next prime is 230003041. The reversal of 230003040 is 40300032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230003041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20920 + ... + 29960.

It is an arithmetic number, because the mean of its divisors is an integer number (7690221).

Almost surely, 2230003040 is an apocalyptic number.

230003040 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 230003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369130608).

230003040 is an abundant number, since it is smaller than the sum of its proper divisors (508258176).

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

230003040 is a wasteful number, since it uses less digits than its factorization.

230003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230003040 is about 15165.8511136039. The cubic root of 230003040 is about 612.6952669101.

Adding to 230003040 its reverse (40300032), we get a palindrome (270303072).

The spelling of 230003040 in words is "two hundred thirty million, three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 9041 12720 18082 25440 27123 36164 45205 54246 72328 90410 108492 135615 144656 180820 216984 271230 289312 361640 433968 479173 542460 723280 867936 958346 1084920 1437519 1446560 1916692 2169840 2395865 2875038 3833384 4339680 4791730 5750076 7187595 7666768 9583460 11500152 14375190 15333536 19166920 23000304 28750380 38333840 46000608 57500760 76667680 115001520 230003040