Search a number
-
+
166129368 = 23323595101
BaseRepresentation
bin10011110011011…
…10111011011000
3102120121020122120
421321232323120
5320012114433
624252421240
74055035116
oct1171567330
9376536576
10166129368
11858594a9
1247777820
1328558602
14180c6ab6
15e8b87b3
hex9e6eed8

166129368 has 64 divisors (see below), whose sum is σ = 440812800. Its totient is φ = 52060800.

The previous prime is 166129357. The next prime is 166129399. The reversal of 166129368 is 863921661.

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 15 ways as a sum of consecutive naturals, for example, 30018 + ... + 35118.

It is an arithmetic number, because the mean of its divisors is an integer number (6887700).

Almost surely, 2166129368 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 166129368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220406400).

166129368 is an abundant number, since it is smaller than the sum of its proper divisors (274683432).

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

166129368 is a wasteful number, since it uses less digits than its factorization.

166129368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5188 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 166129368 is about 12889.1182010252. The cubic root of 166129368 is about 549.7291978171.

The spelling of 166129368 in words is "one hundred sixty-six million, one hundred twenty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 472 552 708 1357 1416 2714 4071 5101 5428 8142 10202 10856 15303 16284 20404 30606 32568 40808 61212 117323 122424 234646 300959 351969 469292 601918 703938 902877 938584 1203836 1407876 1805754 2407672 2815752 3611508 6922057 7223016 13844114 20766171 27688228 41532342 55376456 83064684 166129368