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18134928 = 243471999
BaseRepresentation
bin100010100101…
…1011110010000
31021010100110000
41011023132100
514120304203
61444410000
7310100340
oct105133620
937110400
1018134928
11a267049
1260a6900
1339ac536
1425a0d20
1518d34a3
hex114b790

18134928 has 100 divisors (see below), whose sum is σ = 60016000. Its totient is φ = 5178816.

The previous prime is 18134927. The next prime is 18134929. The reversal of 18134928 is 82943181.

It is an interprime number because it is at equal distance from previous prime (18134927) and next prime (18134929).

It is a super-2 number, since 2×181349282 = 657751227130368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18134892 and 18134901.

It is not an unprimeable number, because it can be changed into a prime (18134927) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8073 + ... + 10071.

It is an arithmetic number, because the mean of its divisors is an integer number (600160).

Almost surely, 218134928 is an apocalyptic number.

18134928 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 18134928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008000).

18134928 is an abundant number, since it is smaller than the sum of its proper divisors (41881072).

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

18134928 is a wasteful number, since it uses less digits than its factorization.

18134928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2011 counting only the distinct ones).

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

The square root of 18134928 is about 4258.5124163257. The cubic root of 18134928 is about 262.7273459006.

The spelling of 18134928 in words is "eighteen million, one hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 1999 2268 3024 3998 4536 5997 7996 9072 11994 13993 15992 17991 23988 27986 31984 35982 41979 47976 53973 55972 71964 83958 95952 107946 111944 125937 143928 161919 167916 215892 223888 251874 287856 323838 335832 377811 431784 503748 647676 671664 755622 863568 1007496 1133433 1295352 1511244 2014992 2266866 2590704 3022488 4533732 6044976 9067464 18134928