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18653934 = 23131941307
BaseRepresentation
bin100011100101…
…0001011101110
31022002201101110
41013022023232
514233411214
61503452450
7314361435
oct107121356
938081343
1018653934
11a590a82
1262b7126
133b31840
14269811c
151987159
hex11ca2ee

18653934 has 64 divisors (see below), whose sum is σ = 43464960. Its totient is φ = 5287680.

The previous prime is 18653923. The next prime is 18653963. The reversal of 18653934 is 43935681.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 18653892 and 18653901.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60609 + ... + 60915.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 218653934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18653934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732480).

18653934 is an abundant number, since it is smaller than the sum of its proper divisors (24811026).

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

18653934 is a wasteful number, since it uses less digits than its factorization.

18653934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385.

The product of its digits is 77760, while the sum is 39.

The square root of 18653934 is about 4319.0200277378. The cubic root of 18653934 is about 265.2101525111.

The spelling of 18653934 in words is "eighteen million, six hundred fifty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 38 39 41 57 78 82 114 123 246 247 307 494 533 614 741 779 921 1066 1482 1558 1599 1842 2337 3198 3991 4674 5833 7982 10127 11666 11973 12587 17499 20254 23946 25174 30381 34998 37761 60762 75522 75829 151658 163631 227487 239153 327262 454974 478306 490893 717459 981786 1434918 3108989 6217978 9326967 18653934