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164012436 = 223272512593
BaseRepresentation
bin10011100011010…
…10000110010100
3102102121200202200
421301222012110
5313441344221
624135204500
74031040240
oct1161520624
9372550680
10164012436
1184642a75
1246b16730
1327c96ba3
1417ad5420
15e5eb426
hex9c6a194

164012436 has 72 divisors (see below), whose sum is σ = 475884864. Its totient is φ = 46656000.

The previous prime is 164012411. The next prime is 164012437. The reversal of 164012436 is 634210461.

164012436 is a `hidden beast` number, since 1 + 640 + 12 + 4 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164012437) 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, 61956 + ... + 64548.

It is an arithmetic number, because the mean of its divisors is an integer number (6609512).

Almost surely, 2164012436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164012436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237942432).

164012436 is an abundant number, since it is smaller than the sum of its proper divisors (311872428).

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

164012436 is a wasteful number, since it uses less digits than its factorization.

164012436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 164012436 is about 12806.7340098871. The cubic root of 164012436 is about 547.3842026950.

Adding to 164012436 its reverse (634210461), we get a palindrome (798222897).

The spelling of 164012436 in words is "one hundred sixty-four million, twelve thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 251 252 502 753 1004 1506 1757 2259 2593 3012 3514 4518 5186 5271 7028 7779 9036 10372 10542 15558 15813 18151 21084 23337 31116 31626 36302 46674 54453 63252 72604 93348 108906 163359 217812 326718 650843 653436 1301686 1952529 2603372 3905058 4555901 5857587 7810116 9111802 11715174 13667703 18223604 23430348 27335406 41003109 54670812 82006218 164012436