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40204000 = 255319232
BaseRepresentation
bin1001100101011…
…1011011100000
32210122120112001
42121113123200
540243012000
63553413344
7665504554
oct231273340
983576461
1040204000
112076a951
121156a254
138438665
1454a7864
1537e246a
hex26576e0

40204000 has 144 divisors (see below), whose sum is σ = 108697680. Its totient is φ = 14572800.

The previous prime is 40203991. The next prime is 40204027. The reversal of 40204000 is 40204.

40204000 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 (10).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1747989 + ... + 1748011.

It is an arithmetic number, because the mean of its divisors is an integer number (754845).

Almost surely, 240204000 is an apocalyptic number.

40204000 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 40204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54348840).

40204000 is an abundant number, since it is smaller than the sum of its proper divisors (68493680).

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

40204000 is a wasteful number, since it uses less digits than its factorization.

40204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 40204000 is about 6340.6624259615. The cubic root of 40204000 is about 342.5755955820.

Adding to 40204000 its reverse (40204), we get a palindrome (40244204).

40204000 divided by its reverse (40204) gives a cube (1000 = 103).

The spelling of 40204000 in words is "forty million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 23 25 32 38 40 46 50 76 80 92 95 100 115 125 152 160 184 190 200 230 250 304 368 380 400 437 460 475 500 529 575 608 736 760 800 874 920 950 1000 1058 1150 1520 1748 1840 1900 2000 2116 2185 2300 2375 2645 2875 3040 3496 3680 3800 4000 4232 4370 4600 4750 5290 5750 6992 7600 8464 8740 9200 9500 10051 10580 10925 11500 13225 13984 15200 16928 17480 18400 19000 20102 21160 21850 23000 26450 34960 38000 40204 42320 43700 46000 50255 52900 54625 66125 69920 76000 80408 84640 87400 92000 100510 105800 109250 132250 160816 174800 201020 211600 218500 251275 264500 321632 349600 402040 423200 437000 502550 529000 804080 874000 1005100 1058000 1256375 1608160 1748000 2010200 2116000 2512750 4020400 5025500 8040800 10051000 20102000 40204000