Search a number
-
+
40646060 = 22571323971
BaseRepresentation
bin1001101100001…
…1010110101100
32211111000220122
42123003112230
540401133220
64011104112
71002325430
oct233032654
984430818
1040646060
1120a41a94
1211742038
138561930
1455809c0
15387d425
hex26c35ac

40646060 has 96 divisors (see below), whose sum is σ = 109734912. Its totient is φ = 12291840.

The previous prime is 40646059. The next prime is 40646063. The reversal of 40646060 is 6064604.

40646060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (40646063) 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 31 ways as a sum of consecutive naturals, for example, 41375 + ... + 42345.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 240646060 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 40646060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

40646060 is an abundant number, since it is smaller than the sum of its proper divisors (69088852).

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

40646060 is a wasteful number, since it uses less digits than its factorization.

40646060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 40646060 is about 6375.4262602590. The cubic root of 40646060 is about 343.8266094817.

The spelling of 40646060 in words is "forty million, six hundred forty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 91 92 115 130 140 161 182 230 260 299 322 364 455 460 598 644 805 910 971 1196 1495 1610 1820 1942 2093 2990 3220 3884 4186 4855 5980 6797 8372 9710 10465 12623 13594 19420 20930 22333 25246 27188 33985 41860 44666 50492 63115 67970 88361 89332 111665 126230 135940 156331 176722 223330 252460 290329 312662 353444 441805 446660 580658 625324 781655 883610 1161316 1451645 1563310 1767220 2032303 2903290 3126620 4064606 5806580 8129212 10161515 20323030 40646060