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18169984 = 27722897
BaseRepresentation
bin100010101010…
…0000010000000
31021012010112101
41011110002000
514122414414
61445240144
7310304500
oct105240200
937163471
1018169984
11a290418
126103054
1339c2491
1425ada00
1518dda74
hex1154080

18169984 has 48 divisors (see below), whose sum is σ = 42122430. Its totient is φ = 7784448.

The previous prime is 18169967. The next prime is 18170027. The reversal of 18169984 is 48996181.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 529984 = 4200^2 + 728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4824 + ... + 7720.

Almost surely, 218169984 is an apocalyptic number.

18169984 is a gapful number since it is divisible by the number (14) 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 18169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21061215).

18169984 is an abundant number, since it is smaller than the sum of its proper divisors (23952446).

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

18169984 is an equidigital number, since it uses as much as digits as its factorization.

18169984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2906 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The square root of 18169984 is about 4262.6264204127. The cubic root of 18169984 is about 262.8965266400.

The spelling of 18169984 in words is "eighteen million, one hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 2897 3136 5794 6272 11588 20279 23176 40558 46352 81116 92704 141953 162232 185408 283906 324464 370816 567812 648928 1135624 1297856 2271248 2595712 4542496 9084992 18169984