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40605000 = 233542707
BaseRepresentation
bin1001101011100…
…1010101001000
32211101221120220
42122321111020
540343330000
64010150040
71002064632
oct232712510
984357526
1040605000
1120a14157
1211722320
138549037
14556da52
1538711a0
hex26b9548

40605000 has 80 divisors (see below), whose sum is σ = 126896880. Its totient is φ = 10824000.

The previous prime is 40604983. The next prime is 40605031. The reversal of 40605000 is 50604.

It is a super-3 number, since 3×406050003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13647 + ... + 16353.

It is an arithmetic number, because the mean of its divisors is an integer number (1586211).

Almost surely, 240605000 is an apocalyptic number.

40605000 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 40605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63448440).

40605000 is an abundant number, since it is smaller than the sum of its proper divisors (86291880).

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

40605000 is a wasteful number, since it uses less digits than its factorization.

40605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40605000 is about 6372.2052697634. The cubic root of 40605000 is about 343.7107944267.

Adding to 40605000 its reverse (50604), we get a palindrome (40655604).

The spelling of 40605000 in words is "forty million, six hundred five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 2707 3000 3750 5000 5414 7500 8121 10828 13535 15000 16242 21656 27070 32484 40605 54140 64968 67675 81210 108280 135350 162420 203025 270700 324840 338375 406050 541400 676750 812100 1015125 1353500 1624200 1691875 2030250 2707000 3383750 4060500 5075625 6767500 8121000 10151250 13535000 20302500 40605000