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145096182 = 232711231307
BaseRepresentation
bin10001010010111…
…11110111110110
3101010000122112200
420221133313312
5244121034212
622221525330
73411203640
oct1051376766
9333018480
10145096182
11749a2a00
1240713846
13240a2b3a
14153ad890
15cb116dc
hex8a5fdf6

145096182 has 144 divisors (see below), whose sum is σ = 408984576. Its totient is φ = 36352800.

The previous prime is 145096177. The next prime is 145096199. The reversal of 145096182 is 281690541.

145096182 is a `hidden beast` number, since 14 + 509 + 61 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 472473 + ... + 472779.

Almost surely, 2145096182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145096182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204492288).

145096182 is an abundant number, since it is smaller than the sum of its proper divisors (263888394).

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

145096182 is a wasteful number, since it uses less digits than its factorization.

145096182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 145096182 is about 12045.5876568974. The cubic root of 145096182 is about 525.4749226295.

The spelling of 145096182 in words is "one hundred forty-five million, ninety-six thousand, one hundred eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 31 33 42 62 63 66 77 93 99 121 126 154 186 198 217 231 242 279 307 341 363 434 462 558 614 651 682 693 726 847 921 1023 1089 1302 1386 1694 1842 1953 2046 2149 2178 2387 2541 2763 3069 3377 3751 3906 4298 4774 5082 5526 6138 6447 6754 7161 7502 7623 9517 10131 11253 12894 14322 15246 19034 19341 20262 21483 22506 23639 26257 28551 30393 33759 37147 38682 42966 47278 52514 57102 60786 66619 67518 70917 74294 78771 85653 104687 111441 133238 141834 157542 171306 199857 209374 212751 222882 236313 260029 314061 334323 399714 425502 472626 520058 599571 628122 668646 732809 780087 942183 1151557 1199142 1465618 1560174 1884366 2198427 2303114 2340261 3454671 4396854 4680522 6595281 6909342 8060899 10364013 13190562 16121798 20728026 24182697 48365394 72548091 145096182