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194480 = 245111317
BaseRepresentation
bin101111011110110000
3100212202222
4233132300
522210410
64100212
71436666
oct573660
9325688
10194480
11123130
1294668
136a6a0
1450c36
153c955
hex2f7b0

194480 has 80 divisors (see below), whose sum is σ = 562464. Its totient is φ = 61440.

The previous prime is 194479. The next prime is 194483. The reversal of 194480 is 84491.

It is a Cunningham number, because it is equal to 214-1.

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 (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194483) 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, 11432 + ... + 11448.

194480 is a Friedman number, since it can be written as (9+8+4)^4-1-0, using all its digits and the basic arithmetic operations.

2194480 is an apocalyptic number.

194480 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 194480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

194480 is an abundant number, since it is smaller than the sum of its proper divisors (367984).

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

194480 is a wasteful number, since it uses less digits than its factorization.

194480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 194480 is about 440.9988662117. The cubic root of 194480 is about 57.9373084012.

The spelling of 194480 in words is "one hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 17 20 22 26 34 40 44 52 55 65 68 80 85 88 104 110 130 136 143 170 176 187 208 220 221 260 272 286 340 374 440 442 520 572 680 715 748 880 884 935 1040 1105 1144 1360 1430 1496 1768 1870 2210 2288 2431 2860 2992 3536 3740 4420 4862 5720 7480 8840 9724 11440 12155 14960 17680 19448 24310 38896 48620 97240 194480