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40204080 = 2433572659
BaseRepresentation
bin1001100101011…
…1011100110000
32210122120122000
42121113130300
540243012310
63553414000
7665505030
oct231273460
983576560
1040204080
112076aa14
121156a300
1384386c7
1454a78c0
1537e24c0
hex2657730

40204080 has 160 divisors (see below), whose sum is σ = 158323200. Its totient is φ = 9186048.

The previous prime is 40204049. The next prime is 40204091. The reversal of 40204080 is 8040204.

It is a happy number.

40204080 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 (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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, 13791 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 240204080 is an apocalyptic number.

40204080 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 40204080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79161600).

40204080 is an abundant number, since it is smaller than the sum of its proper divisors (118119120).

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

40204080 is a wasteful number, since it uses less digits than its factorization.

40204080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40204080 is about 6340.6687344475. The cubic root of 40204080 is about 342.5758228067.

Adding to 40204080 its reverse (8040204), we get a palindrome (48244284).

It can be divided in two parts, 4020 and 4080, that added together give a square (8100 = 902).

The spelling of 40204080 in words is "forty million, two hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 2659 3024 3780 5040 5318 7560 7977 10636 13295 15120 15954 18613 21272 23931 26590 31908 37226 39885 42544 47862 53180 55839 63816 71793 74452 79770 93065 95724 106360 111678 119655 127632 143586 148904 159540 167517 186130 191448 212720 223356 239310 279195 287172 297808 319080 335034 358965 372260 382896 446712 478620 502551 558390 574344 638160 670068 717930 744520 837585 893424 957240 1005102 1116780 1148688 1340136 1435860 1489040 1675170 1914480 2010204 2233560 2512755 2680272 2871720 3350340 4020408 4467120 5025510 5743440 6700680 8040816 10051020 13401360 20102040 40204080