Search a number
-
+
40332060 = 22335193931
BaseRepresentation
bin1001100111011…
…0101100011100
32210220002012000
42121312230130
540311111220
64000242300
7666550116
oct231665434
983802160
1040332060
112084808a
1211610390
138481a32
1454dc3b6
15381a390
hex2676b1c

40332060 has 96 divisors (see below), whose sum is σ = 132115200. Its totient is φ = 10186560.

The previous prime is 40332059. The next prime is 40332077. The reversal of 40332060 is 6023304.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8295 + ... + 12225.

It is an arithmetic number, because the mean of its divisors is an integer number (1376200).

Almost surely, 240332060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40332060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66057600).

40332060 is an abundant number, since it is smaller than the sum of its proper divisors (91783140).

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

40332060 is a wasteful number, since it uses less digits than its factorization.

40332060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40332060 is about 6350.7527112934. The cubic root of 40332060 is about 342.9389403050.

Adding to 40332060 its reverse (6023304), we get a palindrome (46355364).

The spelling of 40332060 in words is "forty million, three hundred thirty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 3931 5130 7862 10260 11793 15724 19655 23586 35379 39310 47172 58965 70758 74689 78620 106137 117930 141516 149378 176895 212274 224067 235860 298756 353790 373445 424548 448134 530685 672201 707580 746890 896268 1061370 1120335 1344402 1493780 2016603 2122740 2240670 2688804 3361005 4033206 4481340 6722010 8066412 10083015 13444020 20166030 40332060