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164069104 = 24194711483
BaseRepresentation
bin10011100011101…
…11111011110000
3102102201120111111
421301313323300
5314000202404
624140323104
74031364403
oct1161677360
9372646444
10164069104
1184681601
1246b43494
1327cb6914
1417b0bd3a
15e60d104
hex9c77ef0

164069104 has 40 divisors (see below), whose sum is σ = 341763840. Its totient is φ = 76056768.

The previous prime is 164069093. The next prime is 164069149. The reversal of 164069104 is 401960461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8547 + ... + 20029.

It is an arithmetic number, because the mean of its divisors is an integer number (8544096).

Almost surely, 2164069104 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 164069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881920).

164069104 is an abundant number, since it is smaller than the sum of its proper divisors (177694736).

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

164069104 is a wasteful number, since it uses less digits than its factorization.

164069104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557 (or 11551 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 164069104 is about 12808.9462486186. The cubic root of 164069104 is about 547.4472377447.

The spelling of 164069104 in words is "one hundred sixty-four million, sixty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1786 3572 7144 11483 14288 22966 45932 91864 183728 218177 436354 539701 872708 1079402 1745416 2158804 3490832 4317608 8635216 10254319 20508638 41017276 82034552 164069104