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164215260 = 2232511197421
BaseRepresentation
bin10011100100110…
…11100111011100
3102102222222222200
421302123213130
5314014342020
624143411500
74032543456
oct1162334734
9372888880
10164215260
11847713a0
1246bb3b90
13280382c1
1417b492d6
15e63b590
hex9c9b9dc

164215260 has 144 divisors (see below), whose sum is σ = 547458912. Its totient is φ = 39513600.

The previous prime is 164215243. The next prime is 164215267. The reversal of 164215260 is 62512461.

164215260 is a `hidden beast` number, since 1 + 642 + 15 + 2 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164215267) 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, 389850 + ... + 390270.

It is an arithmetic number, because the mean of its divisors is an integer number (3801798).

Almost surely, 2164215260 is an apocalyptic number.

164215260 is a gapful number since it is divisible by the number (10) 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 164215260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273729456).

164215260 is an abundant number, since it is smaller than the sum of its proper divisors (383243652).

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

164215260 is a wasteful number, since it uses less digits than its factorization.

164215260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 164215260 is about 12814.6502098184. The cubic root of 164215260 is about 547.6097484375.

The spelling of 164215260 in words is "one hundred sixty-four million, two hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 197 198 220 330 394 396 421 495 591 660 788 842 985 990 1182 1263 1684 1773 1970 1980 2105 2167 2364 2526 2955 3546 3789 3940 4210 4334 4631 5052 5910 6315 6501 7092 7578 8420 8668 8865 9262 10835 11820 12630 13002 13893 15156 17730 18524 18945 19503 21670 23155 25260 26004 27786 32505 35460 37890 39006 41679 43340 46310 55572 65010 69465 75780 78012 82937 83358 92620 97515 130020 138930 165874 166716 195030 208395 248811 277860 331748 390060 414685 416790 497622 746433 829370 833580 912307 995244 1244055 1492866 1658740 1824614 2488110 2736921 2985732 3649228 3732165 4561535 4976220 5473842 7464330 8210763 9123070 10947684 13684605 14928660 16421526 18246140 27369210 32843052 41053815 54738420 82107630 164215260