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164194360 = 235111033623
BaseRepresentation
bin10011100100101…
…10100000111000
3102102221221022121
421302112200320
5314013204420
624143131024
74032425521
oct1162264070
9372857277
10164194360
1184757720
1246ba3a74
132802b935
1417b41848
15e6352aa
hex9c96838

164194360 has 64 divisors (see below), whose sum is σ = 407047680. Its totient is φ = 59111040.

The previous prime is 164194357. The next prime is 164194367. The reversal of 164194360 is 63491461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164194367) 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, 43509 + ... + 47131.

It is an arithmetic number, because the mean of its divisors is an integer number (6360120).

Almost surely, 2164194360 is an apocalyptic number.

164194360 is a gapful number since it is divisible by the number (10) 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 164194360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203523840).

164194360 is an abundant number, since it is smaller than the sum of its proper divisors (242853320).

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

164194360 is a wasteful number, since it uses less digits than its factorization.

164194360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 164194360 is about 12813.8347109677. The cubic root of 164194360 is about 547.5865156610.

The spelling of 164194360 in words is "one hundred sixty-four million, one hundred ninety-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 3623 4120 4532 5665 7246 9064 11330 14492 18115 22660 28984 36230 39853 45320 72460 79706 144920 159412 199265 318824 373169 398530 746338 797060 1492676 1594120 1865845 2985352 3731690 4104859 7463380 8209718 14926760 16419436 20524295 32838872 41048590 82097180 164194360