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164330460 = 223257413181
BaseRepresentation
bin10011100101101…
…11101111011100
3102110012212000100
421302313233130
5314032033320
624150101100
74033533360
oct1162675734
9373185010
10164330460
118483a9a8
124704a790
1328078878
1417b792a0
15e660790
hex9cb7bdc

164330460 has 144 divisors (see below), whose sum is σ = 583756992. Its totient is φ = 36633600.

The previous prime is 164330447. The next prime is 164330531. The reversal of 164330460 is 64033461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50070 + ... + 53250.

It is an arithmetic number, because the mean of its divisors is an integer number (4053868).

Almost surely, 2164330460 is an apocalyptic number.

164330460 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 164330460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291878496).

164330460 is an abundant number, since it is smaller than the sum of its proper divisors (419426532).

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

164330460 is a wasteful number, since it uses less digits than its factorization.

164330460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 164330460 is about 12819.1442772129. The cubic root of 164330460 is about 547.7377712475.

The spelling of 164330460 in words is "one hundred sixty-four million, three hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 82 84 90 105 123 126 140 164 180 205 210 246 252 287 315 369 410 420 492 574 615 630 738 820 861 1148 1230 1260 1435 1476 1722 1845 2460 2583 2870 3181 3444 3690 4305 5166 5740 6362 7380 8610 9543 10332 12724 12915 15905 17220 19086 22267 25830 28629 31810 38172 44534 47715 51660 57258 63620 66801 89068 95430 111335 114516 130421 133602 143145 190860 200403 222670 260842 267204 286290 334005 391263 400806 445340 521684 572580 652105 668010 782526 801612 912947 1002015 1173789 1304210 1336020 1565052 1825894 1956315 2004030 2347578 2608420 2738841 3651788 3912630 4008060 4564735 4695156 5477682 5868945 7825260 8216523 9129470 10955364 11737890 13694205 16433046 18258940 23475780 27388410 32866092 41082615 54776820 82165230 164330460