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18920385 = 3451131137
BaseRepresentation
bin100100000101…
…1001111000001
31022121020220000
41020023033001
514320423020
61513310213
7316551321
oct110131701
938536800
1018920385
11a753190
126405369
133bc5bc3
142727281
1519db090
hex120b3c1

18920385 has 80 divisors (see below), whose sum is σ = 38472192. Its totient is φ = 8812800.

The previous prime is 18920353. The next prime is 18920399. The reversal of 18920385 is 58302981.

It is not a de Polignac number, because 18920385 - 25 = 18920353 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138037 + ... + 138173.

Almost surely, 218920385 is an apocalyptic number.

18920385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18920385 is an abundant number, since it is smaller than the sum of its proper divisors (19551807).

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

18920385 is a wasteful number, since it uses less digits than its factorization.

18920385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

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

The square root of 18920385 is about 4349.7568897583. The cubic root of 18920385 is about 266.4669329017.

The spelling of 18920385 in words is "eighteen million, nine hundred twenty thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 81 93 99 135 137 155 165 279 297 341 405 411 465 495 685 837 891 1023 1233 1395 1485 1507 1705 2055 2511 3069 3699 4185 4247 4455 4521 5115 6165 7535 9207 11097 12555 12741 13563 15345 18495 21235 22605 27621 38223 40689 46035 46717 55485 63705 67815 114669 122067 138105 140151 191115 203445 233585 344007 420453 573345 610335 700755 1261359 1720035 2102265 3784077 6306795 18920385