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18390645 = 345713499
BaseRepresentation
bin100011000100…
…1111001110101
31021121100020000
41012021321311
514202000040
61454101513
7312214020
oct106117165
937540200
1018390645
11a421189
1261aa899
133a6ba50
14262a1b7
151934130
hex1189e75

18390645 has 80 divisors (see below), whose sum is σ = 40656000. Its totient is φ = 7744896.

The previous prime is 18390643. The next prime is 18390661. The reversal of 18390645 is 54609381.

18390645 is a `hidden beast` number, since 1 + 8 + 3 + 9 + 0 + 645 = 666.

It is not a de Polignac number, because 18390645 - 21 = 18390643 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 (18390641) 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 79 ways as a sum of consecutive naturals, for example, 36606 + ... + 37104.

It is an arithmetic number, because the mean of its divisors is an integer number (508200).

Almost surely, 218390645 is an apocalyptic number.

18390645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18390645 is an abundant number, since it is smaller than the sum of its proper divisors (22265355).

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

18390645 is a wasteful number, since it uses less digits than its factorization.

18390645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 18390645 is about 4288.4315314576. The cubic root of 18390645 is about 263.9564752626.

The spelling of 18390645 in words is "eighteen million, three hundred ninety thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 405 455 499 567 585 819 945 1053 1365 1497 1755 2457 2495 2835 3493 4095 4491 5265 6487 7371 7485 10479 12285 13473 17465 19461 22455 31437 32435 36855 40419 45409 52395 58383 67365 94311 97305 136227 157185 175149 202095 227045 282933 291915 408681 471555 525447 681135 875745 1226043 1414665 2043405 2627235 3678129 6130215 18390645