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163054164 = 223721383257
BaseRepresentation
bin10011011100000…
…00001001010100
3102100211000021010
421232000021110
5313220213124
624102452220
74016636400
oct1156001124
9370730233
10163054164
1184049009
1246734070
1327a1c970
1417926100
15e4ac529
hex9b80254

163054164 has 144 divisors (see below), whose sum is σ = 484239168. Its totient is φ = 42319872.

The previous prime is 163054163. The next prime is 163054169. The reversal of 163054164 is 461450361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163054163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634324 + ... + 634580.

It is an arithmetic number, because the mean of its divisors is an integer number (3362772).

Almost surely, 2163054164 is an apocalyptic number.

163054164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163054164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242119584).

163054164 is an abundant number, since it is smaller than the sum of its proper divisors (321185004).

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

163054164 is a wasteful number, since it uses less digits than its factorization.

163054164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 163054164 is about 12769.2663845657. The cubic root of 163054164 is about 546.3160563293.

The spelling of 163054164 in words is "one hundred sixty-three million, fifty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 83 84 91 98 147 156 166 182 196 249 257 273 294 332 364 498 514 546 581 588 637 771 996 1028 1079 1092 1162 1274 1542 1743 1799 1911 2158 2324 2548 3084 3237 3341 3486 3598 3822 4067 4316 5397 6474 6682 6972 7196 7553 7644 8134 10023 10794 12201 12593 12948 13364 15106 16268 20046 21331 21588 22659 23387 24402 25186 30212 37779 40092 42662 45318 46774 48804 50372 52871 63993 70161 75558 85324 90636 93548 105742 127986 140322 149317 151116 158613 163709 211484 255972 277303 280644 298634 317226 327418 447951 491127 554606 597268 634452 654836 831909 895902 982254 1045219 1109212 1663818 1791804 1941121 1964508 2090438 3135657 3327636 3882242 4180876 5823363 6271314 7764484 11646726 12542628 13587847 23293452 27175694 40763541 54351388 81527082 163054164