Search a number
-
+
164045140 = 22572167393
BaseRepresentation
bin10011100011100…
…10000101010100
3102102200100121221
421301302011110
5313443421030
624140020124
74031234500
oct1161620524
9372610557
10164045140
11846655a6
1246b31644
1327ca8a3c
1417b03300
15e605e7a
hex9c72154

164045140 has 36 divisors (see below), whose sum is σ = 400741236. Its totient is φ = 56243712.

The previous prime is 164045137. The next prime is 164045171. The reversal of 164045140 is 41540461.

164045140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38291344 + 125753796 = 6188^2 + 11214^2 .

It is a congruent number.

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, 82717 + ... + 84676.

It is an arithmetic number, because the mean of its divisors is an integer number (11131701).

Almost surely, 2164045140 is an apocalyptic number.

164045140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164045140 is an abundant number, since it is smaller than the sum of its proper divisors (236696096).

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

164045140 is a wasteful number, since it uses less digits than its factorization.

164045140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167416 (or 167407 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 164045140 is about 12808.0107745114. The cubic root of 164045140 is about 547.4205829916.

The spelling of 164045140 in words is "one hundred sixty-four million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 167393 334786 669572 836965 1171751 1673930 2343502 3347860 4687004 5858755 8202257 11717510 16404514 23435020 32809028 41011285 82022570 164045140