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164215064 = 231312712433
BaseRepresentation
bin10011100100110…
…11100100011000
3102102222222201102
421302123210120
5314014340224
624143410532
74032543056
oct1162334430
9372888642
10164215064
1184771232
1246bb3a48
13280381a0
1417b491d6
15e63b4ae
hex9c9b918

164215064 has 32 divisors (see below), whose sum is σ = 334225920. Its totient is φ = 75188736.

The previous prime is 164215061. The next prime is 164215097. The reversal of 164215064 is 460512461.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164215061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6992 + ... + 19424.

It is an arithmetic number, because the mean of its divisors is an integer number (10444560).

Almost surely, 2164215064 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 164215064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167112960).

164215064 is an abundant number, since it is smaller than the sum of its proper divisors (170010856).

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

164215064 is a wasteful number, since it uses less digits than its factorization.

164215064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12579 (or 12575 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 164215064 is about 12814.6425623191. The cubic root of 164215064 is about 547.6095305699.

The spelling of 164215064 in words is "one hundred sixty-four million, two hundred fifteen thousand, sixty-four".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 3302 6604 12433 13208 24866 49732 99464 161629 323258 646516 1293032 1578991 3157982 6315964 12631928 20526883 41053766 82107532 164215064