Search a number
-
+
40559040 = 2632514083
BaseRepresentation
bin1001101010111…
…0000111000000
32211022121112200
42122232013000
540340342130
64005153200
71001513634
oct232560700
984277480
1040559040
1120992675
12116bb800
138531142
14555adc4
153862760
hex26ae1c0

40559040 has 84 divisors (see below), whose sum is σ = 139516104. Its totient is φ = 10814976.

The previous prime is 40559039. The next prime is 40559087. The reversal of 40559040 is 4095504.

It is a junction number, because it is equal to n+sod(n) for n = 40558995 and 40559013.

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 11 ways as a sum of consecutive naturals, for example, 4162 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (1660906).

Almost surely, 240559040 is an apocalyptic number.

40559040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40559040 is an abundant number, since it is smaller than the sum of its proper divisors (98957064).

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

40559040 is a wasteful number, since it uses less digits than its factorization.

40559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 14093 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 40559040 is about 6368.5979618751. The cubic root of 40559040 is about 343.5810656417.

The spelling of 40559040 in words is "forty million, five hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14083 28166 42249 56332 70415 84498 112664 126747 140830 168996 211245 225328 253494 281660 337992 422490 450656 506988 563320 633735 675984 844980 901312 1013976 1126640 1267470 1351968 1689960 2027952 2253280 2534940 2703936 3379920 4055904 4506560 5069880 6759840 8111808 10139760 13519680 20279520 40559040