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152666340 = 223543471259
BaseRepresentation
bin10010001100110…
…00000011100100
3101122021020211220
421012120003210
5303040310330
623052100340
73532433241
oct1106300344
9348236756
10152666340
11791a3532
12431646b0
1325823718
14163c05c8
15d609710
hex91980e4

152666340 has 96 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 38887296.

The previous prime is 152666333. The next prime is 152666359. The reversal of 152666340 is 43666251.

It is a super-2 number, since 2×1526663402 = 46614022737991200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120631 + ... + 121889.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2152666340 is an apocalyptic number.

152666340 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 152666340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

152666340 is an abundant number, since it is smaller than the sum of its proper divisors (294401820).

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

152666340 is a wasteful number, since it uses less digits than its factorization.

152666340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 152666340 is about 12355.8221094349. The cubic root of 152666340 is about 534.4590450211.

The spelling of 152666340 in words is "one hundred fifty-two million, six hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 47 60 86 94 129 141 172 188 215 235 258 282 430 470 516 564 645 705 860 940 1259 1290 1410 2021 2518 2580 2820 3777 4042 5036 6063 6295 7554 8084 10105 12126 12590 15108 18885 20210 24252 25180 30315 37770 40420 54137 59173 60630 75540 108274 118346 121260 162411 177519 216548 236692 270685 295865 324822 355038 541370 591730 649644 710076 812055 887595 1082740 1183460 1624110 1775190 2544439 3248220 3550380 5088878 7633317 10177756 12722195 15266634 25444390 30533268 38166585 50888780 76333170 152666340