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164076894 = 233171923409
BaseRepresentation
bin10011100011110…
…01110101011110
3102102201222012000
421301321311132
5314000430034
624140423130
74031426202
oct1161716536
9372658160
10164076894
1184687443
1246b47aa6
1327cba327
1417b10b02
15e610599
hex9c79d5e

164076894 has 128 divisors (see below), whose sum is σ = 425088000. Its totient is φ = 46531584.

The previous prime is 164076889. The next prime is 164076901. The reversal of 164076894 is 498670461.

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 400962 + ... + 401370.

It is an arithmetic number, because the mean of its divisors is an integer number (3321000).

Almost surely, 2164076894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164076894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212544000).

164076894 is an abundant number, since it is smaller than the sum of its proper divisors (261011106).

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

164076894 is a wasteful number, since it uses less digits than its factorization.

164076894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 164076894 is about 12809.2503293518. The cubic root of 164076894 is about 547.4559018714.

The spelling of 164076894 in words is "one hundred sixty-four million, seventy-six thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 19 23 27 34 38 46 51 54 57 69 102 114 138 153 171 207 306 323 342 391 409 414 437 459 513 621 646 782 818 874 918 969 1026 1173 1227 1242 1311 1938 2346 2454 2622 2907 3519 3681 3933 5814 6953 7038 7362 7429 7771 7866 8721 9407 10557 11043 11799 13906 14858 15542 17442 18814 20859 21114 22086 22287 23313 23598 28221 41718 44574 46626 56442 62577 66861 69939 84663 125154 132107 133722 139878 159919 169326 178733 187731 200583 209817 253989 264214 319838 357466 375462 396321 401166 419634 479757 507978 536199 792642 959514 1072398 1188963 1439271 1608597 2377926 2878542 3038461 3217194 3566889 4317813 4825791 6076922 7133778 8635626 9115383 9651582 18230766 27346149 54692298 82038447 164076894