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230103040 = 211523977
BaseRepresentation
bin11011011011100…
…01100000000000
3121000222110000211
431231301200000
5432401244130
634455523504
75462562226
oct1555614000
9530873024
10230103040
11108983902
1265089594
133889715b
14227bab16
1515303a2a
hexdb71800

230103040 has 96 divisors (see below), whose sum is σ = 576707040. Its totient is φ = 87949312.

The previous prime is 230103001. The next prime is 230103059. The reversal of 230103040 is 40301032.

It is a self number, because there is not a number n which added to its sum of digits gives 230103040.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 235032 + ... + 236008.

It is an arithmetic number, because the mean of its divisors is an integer number (6007365).

Almost surely, 2230103040 is an apocalyptic number.

230103040 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 230103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288353520).

230103040 is an abundant number, since it is smaller than the sum of its proper divisors (346604000).

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

230103040 is an equidigital number, since it uses as much as digits as its factorization.

230103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 230103040 is about 15169.1476359089. The cubic root of 230103040 is about 612.7840492863.

Adding to 230103040 its reverse (40301032), we get a palindrome (270404072).

The spelling of 230103040 in words is "two hundred thirty million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 512 640 736 920 977 1024 1280 1472 1840 1954 2048 2560 2944 3680 3908 4885 5120 5888 7360 7816 9770 10240 11776 14720 15632 19540 22471 23552 29440 31264 39080 44942 47104 58880 62528 78160 89884 112355 117760 125056 156320 179768 224710 235520 250112 312640 359536 449420 500224 625280 719072 898840 1000448 1250560 1438144 1797680 2000896 2501120 2876288 3595360 5002240 5752576 7190720 10004480 11505152 14381440 23010304 28762880 46020608 57525760 115051520 230103040