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164131002 = 2337434209
BaseRepresentation
bin10011100100001…
…11000010111010
3102102211201102000
421302013002322
5314004143002
624141521430
74032043020
oct1162070272
9372751360
10164131002
1184714062
1246b73276
1328008b49
1417b26710
15e62161c
hex9c870ba

164131002 has 32 divisors (see below), whose sum is σ = 416841600. Its totient is φ = 46894464.

The previous prime is 164130973. The next prime is 164131027. The reversal of 164131002 is 200131461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216727 + ... + 217482.

It is an arithmetic number, because the mean of its divisors is an integer number (13026300).

Almost surely, 2164131002 is an apocalyptic number.

164131002 is an abundant number, since it is smaller than the sum of its proper divisors (252710598).

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

164131002 is a wasteful number, since it uses less digits than its factorization.

164131002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434227 (or 434221 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164131002 is about 12811.3622226522. The cubic root of 164131002 is about 547.5160738385.

Adding to 164131002 its reverse (200131461), we get a palindrome (364262463).

The spelling of 164131002 in words is "one hundred sixty-four million, one hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 434209 868418 1302627 2605254 3039463 3907881 6078926 7815762 9118389 11723643 18236778 23447286 27355167 54710334 82065501 164131002