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40668930 = 232517191399
BaseRepresentation
bin1001101100100…
…0111100000010
32211112012021200
42123020330002
540402401210
64011402030
71002452211
oct233107402
984465250
1040668930
1120a58195
1211753316
13856c173
145589078
1538850c0
hex26c8f02

40668930 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 9662976.

The previous prime is 40668923. The next prime is 40668937. The reversal of 40668930 is 3986604.

It is an interprime number because it is at equal distance from previous prime (40668923) and next prime (40668937).

It is not an unprimeable number, because it can be changed into a prime (40668937) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28371 + ... + 29769.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 240668930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40668930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

40668930 is an abundant number, since it is smaller than the sum of its proper divisors (77267070).

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

40668930 is a wasteful number, since it uses less digits than its factorization.

40668930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40668930 is about 6377.2196135934. The cubic root of 40668930 is about 343.8910834654.

It can be divided in two parts, 4066 and 8930, that added together give a square (12996 = 1142).

The spelling of 40668930 in words is "forty million, six hundred sixty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 765 855 969 1399 1530 1615 1710 1938 2798 2907 3230 4197 4845 5814 6995 8394 9690 12591 13990 14535 20985 23783 25182 26581 29070 41970 47566 53162 62955 71349 79743 118915 125910 132905 142698 159486 214047 237830 239229 265810 356745 398715 428094 451877 478458 713490 797430 903754 1070235 1196145 1355631 2140470 2259385 2392290 2711262 4066893 4518770 6778155 8133786 13556310 20334465 40668930