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182097045 = 335131943127
BaseRepresentation
bin10101101101010…
…01010010010101
3110200122111012000
422312221102111
5333104101140
630022545513
74340541114
oct1266512225
9420574160
10182097045
1193875229
1250b98299
132b959540
141a281c7b
1510ebea30
hexada9495

182097045 has 128 divisors (see below), whose sum is σ = 378470400. Its totient is φ = 82301184.

The previous prime is 182097043. The next prime is 182097053. The reversal of 182097045 is 540790281.

182097045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 182097045 - 21 = 182097043 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182097043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1433772 + ... + 1433898.

It is an arithmetic number, because the mean of its divisors is an integer number (2956800).

Almost surely, 2182097045 is an apocalyptic number.

182097045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

182097045 is an abundant number, since it is smaller than the sum of its proper divisors (196373355).

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

182097045 is a wasteful number, since it uses less digits than its factorization.

182097045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 182097045 is about 13494.3338109000. Note that the first 3 decimals coincide. The cubic root of 182097045 is about 566.8058179993.

The spelling of 182097045 in words is "one hundred eighty-two million, ninety-seven thousand, forty-five".

Divisors: 1 3 5 9 13 15 19 27 39 43 45 57 65 95 117 127 129 135 171 195 215 247 285 351 381 387 513 559 585 635 645 741 817 855 1143 1161 1235 1651 1677 1755 1905 1935 2223 2413 2451 2565 2795 3429 3705 4085 4953 5031 5461 5715 5805 6669 7239 7353 8255 8385 10621 11115 12065 12255 14859 15093 16383 17145 21717 22059 24765 25155 27305 31369 31863 33345 36195 36765 44577 49149 53105 65151 70993 74295 75465 81915 94107 95589 103759 108585 110295 147447 156845 159315 212979 222885 245745 282321 286767 311277 325755 354965 470535 477945 518795 638937 737235 846963 933831 1064895 1348867 1411605 1433835 1556385 1916811 2801493 3194685 4046601 4234815 4669155 6744335 9584055 12139803 14007465 20233005 36419409 60699015 182097045