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18029385 = 355111971
BaseRepresentation
bin100010011000…
…1101101001001
31020220222200000
41010301231021
514103420020
61442233213
7306150543
oct104615511
936828600
1018029385
11a1a4820
126055809
13397349a
142574693
1518b2090
hex1131b49

18029385 has 96 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 8164800.

The previous prime is 18029377. The next prime is 18029413. The reversal of 18029385 is 58392081.

It is not a de Polignac number, because 18029385 - 23 = 18029377 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253900 + ... + 253970.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 218029385 is an apocalyptic number.

18029385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18029385 is an abundant number, since it is smaller than the sum of its proper divisors (19710135).

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

18029385 is a wasteful number, since it uses less digits than its factorization.

18029385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

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

The square root of 18029385 is about 4246.1023303731. The cubic root of 18029385 is about 262.2166738974.

The spelling of 18029385 in words is "eighteen million, twenty-nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 19 27 33 45 55 57 71 81 95 99 135 165 171 209 213 243 285 297 355 405 495 513 627 639 781 855 891 1045 1065 1215 1349 1485 1539 1881 1917 2343 2565 2673 3135 3195 3905 4047 4455 4617 5643 5751 6745 7029 7695 9405 9585 11715 12141 13365 14839 16929 17253 20235 21087 23085 28215 28755 35145 36423 44517 50787 60705 63261 74195 84645 86265 105435 109269 133551 182115 189783 222585 253935 316305 327807 400653 546345 667755 948915 1201959 1639035 2003265 3605877 6009795 18029385