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194804640 = 25325135281
BaseRepresentation
bin10111001110001…
…11101110100000
3111120120002201200
423213013232200
5344332222030
631155201200
74553545362
oct1347075640
9446502650
10194804640
119aa64678
12552a6200
1331488624
141bc2cd32
151217ed60
hexb9c7ba0

194804640 has 72 divisors (see below), whose sum is σ = 664775748. Its totient is φ = 51947520.

The previous prime is 194804639. The next prime is 194804669. The reversal of 194804640 is 46408491.

It is a happy number.

194804640 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 192765456 + 2039184 = 13884^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 194804595 and 194804604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66201 + ... + 69080.

Almost surely, 2194804640 is an apocalyptic number.

194804640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

194804640 is an abundant number, since it is smaller than the sum of its proper divisors (469971108).

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

194804640 is a wasteful number, since it uses less digits than its factorization.

194804640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135302 (or 135291 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 194804640 is about 13957.2432808202. The cubic root of 194804640 is about 579.6952818706.

The spelling of 194804640 in words is "one hundred ninety-four million, eight hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 135281 270562 405843 541124 676405 811686 1082248 1217529 1352810 1623372 2029215 2164496 2435058 2705620 3246744 4058430 4328992 4870116 5411240 6087645 6493488 8116860 9740232 10822480 12175290 12986976 16233720 19480464 21644960 24350580 32467440 38960928 48701160 64934880 97402320 194804640