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194893104 = 24372112749
BaseRepresentation
bin10111001110111…
…01010100110000
3111120201121002010
423213131110300
5344343034404
631201122520
74554364320
oct1347352460
9446647063
10194893104
11a001508a
1255329440
13314b9983
141bc53280
151219b189
hexb9dd530

194893104 has 80 divisors (see below), whose sum is σ = 578336000. Its totient is φ = 55399680.

The previous prime is 194893103. The next prime is 194893141. The reversal of 194893104 is 401398491.

It is not an unprimeable number, because it can be changed into a prime (194893103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69522 + ... + 72270.

It is an arithmetic number, because the mean of its divisors is an integer number (7229200).

Almost surely, 2194893104 is an apocalyptic number.

194893104 is a gapful number since it is divisible by the number (14) 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 194893104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289168000).

194893104 is an abundant number, since it is smaller than the sum of its proper divisors (383442896).

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

194893104 is a wasteful number, since it uses less digits than its factorization.

194893104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 194893104 is about 13960.4120283035. The cubic root of 194893104 is about 579.7830183206.

The spelling of 194893104 in words is "one hundred ninety-four million, eight hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 633 844 1266 1477 1688 2532 2749 2954 3376 4431 5064 5498 5908 8247 8862 10128 10996 11816 16494 17724 19243 21992 23632 32988 35448 38486 43984 57729 65976 70896 76972 115458 131952 153944 230916 307888 461832 580039 923664 1160078 1740117 2320156 3480234 4060273 4640312 6960468 8120546 9280624 12180819 13920936 16241092 24361638 27841872 32482184 48723276 64964368 97446552 194893104