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18921384 = 2333251349
BaseRepresentation
bin100100000101…
…1011110101000
31022121022021000
41020023132220
514320441014
61513315000
7316554246
oct110133650
938538230
1018921384
11a753a09
126405a60
133bc64b1
142727796
1519db509
hex120b7a8

18921384 has 64 divisors (see below), whose sum is σ = 52920000. Its totient is φ = 6264000.

The previous prime is 18921379. The next prime is 18921431. The reversal of 18921384 is 48312981.

18921384 = T139 + T140 + ... + T487.

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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54042 + ... + 54390.

It is an arithmetic number, because the mean of its divisors is an integer number (826875).

Almost surely, 218921384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18921384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460000).

18921384 is an abundant number, since it is smaller than the sum of its proper divisors (33998616).

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

18921384 is a wasteful number, since it uses less digits than its factorization.

18921384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

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

The square root of 18921384 is about 4349.8717222465. The cubic root of 18921384 is about 266.4716226544.

The spelling of 18921384 in words is "eighteen million, nine hundred twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 251 349 502 698 753 1004 1047 1396 1506 2008 2094 2259 2792 3012 3141 4188 4518 6024 6282 6777 8376 9036 9423 12564 13554 18072 18846 25128 27108 37692 54216 75384 87599 175198 262797 350396 525594 700792 788391 1051188 1576782 2102376 2365173 3153564 4730346 6307128 9460692 18921384