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194655840 = 2535439431
BaseRepresentation
bin10111001101000…
…11011001100000
3111120021112121120
423212203121200
5344312441330
631152052240
74552355511
oct1346433140
9446245546
10194655840
119a9728a5
1255234080
1331435992
141bbd0a08
1512150c10
hexb9a3660

194655840 has 96 divisors (see below), whose sum is σ = 627492096. Its totient is φ = 50695680.

The previous prime is 194655829. The next prime is 194655841. The reversal of 194655840 is 48556491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1946558402 = 75781792092211200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 194655792 and 194655801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194655841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15925 + ... + 25355.

It is an arithmetic number, because the mean of its divisors is an integer number (6536376).

Almost surely, 2194655840 is an apocalyptic number.

194655840 is a gapful number since it is divisible by the number (10) 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 194655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313746048).

194655840 is an abundant number, since it is smaller than the sum of its proper divisors (432836256).

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

194655840 is a wasteful number, since it uses less digits than its factorization.

194655840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492 (or 9484 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 194655840 is about 13951.9116969683. The cubic root of 194655840 is about 579.5476457056.

The spelling of 194655840 in words is "one hundred ninety-four million, six hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 9431 10320 18862 20640 28293 37724 47155 56586 75448 94310 113172 141465 150896 188620 226344 282930 301792 377240 405533 452688 565860 754480 811066 905376 1131720 1216599 1508960 1622132 2027665 2263440 2433198 3244264 4055330 4526880 4866396 6082995 6488528 8110660 9732792 12165990 12977056 16221320 19465584 24331980 32442640 38931168 48663960 64885280 97327920 194655840