Search a number
-
+
40609080 = 23335191979
BaseRepresentation
bin1001101011101…
…0010100111000
32211102011012000
42122322110320
540343442310
64010221000
71002112551
oct232722470
984364160
1040609080
1120a17226
1211724760
13854ab55
145571328
1538724c0
hex26ba538

40609080 has 128 divisors (see below), whose sum is σ = 142560000. Its totient is φ = 10253952.

The previous prime is 40609069. The next prime is 40609087. The reversal of 40609080 is 8090604.

40609080 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40609087) 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, 19531 + ... + 21509.

It is an arithmetic number, because the mean of its divisors is an integer number (1113750).

Almost surely, 240609080 is an apocalyptic number.

40609080 is a gapful number since it is divisible by the number (40) 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 40609080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280000).

40609080 is an abundant number, since it is smaller than the sum of its proper divisors (101950920).

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

40609080 is a wasteful number, since it uses less digits than its factorization.

40609080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40609080 is about 6372.5254020678. The cubic root of 40609080 is about 343.7223060885.

Adding to 40609080 its reverse (8090604), we get a palindrome (48699684).

The spelling of 40609080 in words is "forty million, six hundred nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 1979 2052 2280 2565 3420 3958 4104 5130 5937 6840 7916 9895 10260 11874 15832 17811 19790 20520 23748 29685 35622 37601 39580 47496 53433 59370 71244 75202 79160 89055 106866 112803 118740 142488 150404 178110 188005 213732 225606 237480 267165 300808 338409 356220 376010 427464 451212 534330 564015 676818 712440 752020 902424 1015227 1068660 1128030 1353636 1504040 1692045 2030454 2137320 2256060 2707272 3384090 4060908 4512120 5076135 6768180 8121816 10152270 13536360 20304540 40609080