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145527327 = 331117193741
BaseRepresentation
bin10001010110010…
…01001000011111
3101010211112222000
420223021020133
5244223333302
622235053343
73414650631
oct1053111037
9333745860
10145527327
1175167920
12408a1253
13241c415a
1415482a51
15cb9931c
hex8ac921f

145527327 has 128 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 74649600.

The previous prime is 145527323. The next prime is 145527329. The reversal of 145527327 is 723725541.

145527327 is a `hidden beast` number, since 14 + 552 + 73 + 27 = 666.

It is not a de Polignac number, because 145527327 - 22 = 145527323 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145527291 and 145527300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145527323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3549427 + ... + 3549467.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2145527327 is an apocalyptic number.

145527327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

145527327 is a deficient number, since it is larger than the sum of its proper divisors (130261473).

145527327 is a wasteful number, since it uses less digits than its factorization.

145527327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 145527327 is about 12063.4707692272. The cubic root of 145527327 is about 525.9948808458.

It can be divided in two parts, 1455 and 27327, that added together give a palindrome (28782).

The spelling of 145527327 in words is "one hundred forty-five million, five hundred twenty-seven thousand, three hundred twenty-seven".

Divisors: 1 3 9 11 17 19 27 33 37 41 51 57 99 111 123 153 171 187 209 297 323 333 369 407 451 459 513 561 627 629 697 703 779 969 999 1107 1221 1353 1517 1683 1881 1887 2091 2109 2337 2907 3553 3663 4059 4551 5049 5643 5661 6273 6327 6919 7011 7667 7733 8569 8721 10659 10989 11951 12177 13243 13653 16687 16983 18819 18981 20757 21033 23001 23199 25707 25789 28823 31977 35853 39729 40959 50061 62271 69003 69597 77121 77367 86469 95931 107559 119187 131461 145673 150183 186813 207009 208791 231363 232101 259407 283679 317053 322677 357561 394383 437019 450549 489991 696303 778221 851037 951159 1183149 1311057 1469973 2553111 2853477 3549447 3933171 4409919 5389901 7659333 8560431 13229757 16169703 48509109 145527327