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164125240 = 23523178397
BaseRepresentation
bin10011100100001…
…01101000111000
3102102211102111121
421302011220320
5314004001430
624141435024
74032020146
oct1162055070
9372742447
10164125240
118470a7a4
1246b6ba74
1328006336
1417b24596
15e61ea7a
hex9c85a38

164125240 has 32 divisors (see below), whose sum is σ = 385339680. Its totient is φ = 62795392.

The previous prime is 164125219. The next prime is 164125301. The reversal of 164125240 is 42521461.

It is a happy number.

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, 88279 + ... + 90118.

It is an arithmetic number, because the mean of its divisors is an integer number (12041865).

Almost surely, 2164125240 is an apocalyptic number.

164125240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164125240 is an abundant number, since it is smaller than the sum of its proper divisors (221214440).

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

164125240 is a wasteful number, since it uses less digits than its factorization.

164125240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178431 (or 178427 counting only the distinct ones).

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

The square root of 164125240 is about 12811.1373421722. The cubic root of 164125240 is about 547.5096667114.

The spelling of 164125240 in words is "one hundred sixty-four million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 178397 356794 713588 891985 1427176 1783970 3567940 4103131 7135880 8206262 16412524 20515655 32825048 41031310 82062620 164125240