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18690048 = 21233132
BaseRepresentation
bin100011101001…
…1000000000000
31022011112221000
41013103000000
514241040143
61504332000
7314601636
oct107230000
938145830
1018690048
11a606123
126314000
133b45100
1426a7356
151992bd3
hex11d3000

18690048 has 156 divisors (see below), whose sum is σ = 59958120. Its totient is φ = 5750784.

The previous prime is 18690047. The next prime is 18690059. The reversal of 18690048 is 84009681.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (156).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18689994 and 18690021.

It is not an unprimeable number, because it can be changed into a prime (18690041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1437690 + ... + 1437702.

Almost surely, 218690048 is an apocalyptic number.

18690048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29979060).

18690048 is an abundant number, since it is smaller than the sum of its proper divisors (41268072).

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

18690048 is an equidigital number, since it uses as much as digits as its factorization.

18690048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18690048 is about 4323.1988156919. The cubic root of 18690048 is about 265.3811910566.

The spelling of 18690048 in words is "eighteen million, six hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 169 192 208 216 234 256 288 312 338 351 384 416 432 468 507 512 576 624 676 702 768 832 864 936 1014 1024 1152 1248 1352 1404 1521 1536 1664 1728 1872 2028 2048 2304 2496 2704 2808 3042 3072 3328 3456 3744 4056 4096 4563 4608 4992 5408 5616 6084 6144 6656 6912 7488 8112 9126 9216 9984 10816 11232 12168 12288 13312 13824 14976 16224 18252 18432 19968 21632 22464 24336 26624 27648 29952 32448 36504 36864 39936 43264 44928 48672 53248 55296 59904 64896 73008 79872 86528 89856 97344 110592 119808 129792 146016 159744 173056 179712 194688 239616 259584 292032 346112 359424 389376 479232 519168 584064 692224 718848 778752 1038336 1168128 1437696 1557504 2076672 2336256 3115008 4672512 6230016 9345024 18690048