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165261330 = 233513197239
BaseRepresentation
bin10011101100110…
…11000000010010
3102111222010221000
421312123000102
5314301330310
624222042430
74044461313
oct1166330022
9374863830
10165261330
1185316313
1247419416
1328313490
1417d3c60a
15e7964c0
hex9d9b012

165261330 has 128 divisors (see below), whose sum is σ = 479001600. Its totient is φ = 40303872.

The previous prime is 165261311. The next prime is 165261359. The reversal of 165261330 is 33162561.

165261330 = 4262 + 4272 + ... + 8302.

165261330 is a `hidden beast` number, since 1 + 6 + 526 + 133 + 0 = 666.

165261330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1652613302 = 54622614386737800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 165261294 and 165261303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691351 + ... + 691589.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2165261330 is an apocalyptic number.

165261330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165261330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

165261330 is an abundant number, since it is smaller than the sum of its proper divisors (313740270).

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

165261330 is a wasteful number, since it uses less digits than its factorization.

165261330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 165261330 is about 12855.4008105543. The cubic root of 165261330 is about 548.7700670498.

The spelling of 165261330 in words is "one hundred sixty-five million, two hundred sixty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 197 234 239 270 351 390 394 478 585 591 702 717 985 1170 1182 1195 1434 1755 1773 1970 2151 2390 2561 2955 3107 3510 3546 3585 4302 5122 5319 5910 6214 6453 7170 7683 8865 9321 10638 10755 12805 12906 15366 15535 17730 18642 21510 23049 25610 26595 27963 31070 32265 38415 46098 46605 47083 53190 55926 64530 69147 76830 83889 93210 94166 115245 138294 139815 141249 167778 230490 235415 279630 282498 345735 419445 423747 470830 612079 691470 706245 838890 847494 1224158 1271241 1412490 1836237 2118735 2542482 3060395 3672474 4237470 5508711 6120790 6356205 9181185 11017422 12712410 16526133 18362370 27543555 33052266 55087110 82630665 165261330