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164000240 = 24519110733
BaseRepresentation
bin10011100011001…
…11000111110000
3102102121002000222
421301213013300
5313441001430
624135032212
74030656545
oct1161470760
9372532028
10164000240
1184634898
1246b0b668
1327c91481
1417ad0bcc
15e5e79e5
hex9c671f0

164000240 has 40 divisors (see below), whose sum is σ = 383332608. Its totient is φ = 65250560.

The previous prime is 164000233. The next prime is 164000329. The reversal of 164000240 is 42000461.

164000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9914 + ... + 20646.

Almost surely, 2164000240 is an apocalyptic number.

164000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164000240 is an abundant number, since it is smaller than the sum of its proper divisors (219332368).

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

164000240 is a wasteful number, since it uses less digits than its factorization.

164000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 164000240 is about 12806.2578452880. The cubic root of 164000240 is about 547.3706344896.

The spelling of 164000240 in words is "one hundred sixty-four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 10733 15280 21466 42932 53665 85864 107330 171728 214660 429320 858640 2050003 4100006 8200012 10250015 16400024 20500030 32800048 41000060 82000120 164000240