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40994640 = 2433518979
BaseRepresentation
bin1001110001100…
…0011101010000
32212010202002000
42130120131100
540443312030
64022354000
71005306621
oct234303520
985122060
1040994640
112115a975
121188b900
1386544ab
145631a48
1538eb860
hex2718750

40994640 has 80 divisors (see below), whose sum is σ = 141211200. Its totient is φ = 10931328.

The previous prime is 40994627. The next prime is 40994641. The reversal of 40994640 is 4649904.

40994640 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40994595 and 40994604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40994641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7330 + ... + 11649.

It is an arithmetic number, because the mean of its divisors is an integer number (1765140).

Almost surely, 240994640 is an apocalyptic number.

40994640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40994640 is an abundant number, since it is smaller than the sum of its proper divisors (100216560).

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

40994640 is a wasteful number, since it uses less digits than its factorization.

40994640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19001 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40994640 is about 6402.7056780708. The cubic root of 40994640 is about 344.8066970058.

The spelling of 40994640 in words is "forty million, nine hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 18979 37958 56937 75916 94895 113874 151832 170811 189790 227748 284685 303664 341622 379580 455496 512433 569370 683244 759160 854055 910992 1024866 1138740 1366488 1518320 1708110 2049732 2277480 2562165 2732976 3416220 4099464 4554960 5124330 6832440 8198928 10248660 13664880 20497320 40994640