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194011920 = 24325269461
BaseRepresentation
bin10111001000001…
…10001100010000
3111112001211022200
423210012030100
5344131340140
631130203200
74544034264
oct1344061420
9445054280
10194011920
119a573033
1254b83500
133126b86b
141baa40a4
1512075030
hexb906310

194011920 has 60 divisors (see below), whose sum is σ = 651559116. Its totient is φ = 51736320.

The previous prime is 194011861. The next prime is 194011927. The reversal of 194011920 is 29110491.

It can be written as a sum of positive squares in 2 ways, for example, as 152176896 + 41835024 = 12336^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194011927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134011 + ... + 135450.

Almost surely, 2194011920 is an apocalyptic number.

194011920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

194011920 is an abundant number, since it is smaller than the sum of its proper divisors (457547196).

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

194011920 is a wasteful number, since it uses less digits than its factorization.

194011920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269480 (or 269471 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 194011920 is about 13928.8161736739. The cubic root of 194011920 is about 578.9078933908.

It can be divided in two parts, 19401 and 1920, that added together give a triangular number (21321 = T206).

The spelling of 194011920 in words is "one hundred ninety-four million, eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 269461 538922 808383 1077844 1347305 1616766 2155688 2425149 2694610 3233532 4041915 4311376 4850298 5389220 6467064 8083830 9700596 10778440 12125745 12934128 16167660 19401192 21556880 24251490 32335320 38802384 48502980 64670640 97005960 194011920