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164104146 = 23271731759
BaseRepresentation
bin10011100100000…
…00011111010010
3102102210100120100
421302000133102
5314002313041
624141153230
74031601513
oct1162003722
9372710510
10164104146
11846a5968
1246b5b816
1327cc985b
1417b1aa0a
15e6186b6
hex9c807d2

164104146 has 48 divisors (see below), whose sum is σ = 365713920. Its totient is φ = 53161920.

The previous prime is 164104117. The next prime is 164104147. The reversal of 164104146 is 641401461.

164104146 is a `hidden beast` number, since 1 + 641 + 0 + 4 + 14 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (164104147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92415 + ... + 94173.

It is an arithmetic number, because the mean of its divisors is an integer number (7619040).

Almost surely, 2164104146 is an apocalyptic number.

164104146 is an abundant number, since it is smaller than the sum of its proper divisors (201609774).

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

164104146 is a wasteful number, since it uses less digits than its factorization.

164104146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164104146 is about 12810.3140476727. The cubic root of 164104146 is about 547.4862096983.

The spelling of 164104146 in words is "one hundred sixty-four million, one hundred four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 71 73 142 146 213 219 426 438 639 657 1278 1314 1759 3518 5183 5277 10366 10554 15549 15831 31098 31662 46647 93294 124889 128407 249778 256814 374667 385221 749334 770442 1124001 1155663 2248002 2311326 9116897 18233794 27350691 54701382 82052073 164104146