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18994176 = 21034229
BaseRepresentation
bin100100001110…
…1010000000000
31022202000010000
41020131100000
514330303201
61515040000
7320306415
oct110352000
938660100
1018994176
11a7a3673
126440000
133c20676
14274610c
151a02d86
hex121d400

18994176 has 110 divisors (see below), whose sum is σ = 56968010. Its totient is φ = 6303744.

The previous prime is 18994169. The next prime is 18994181. The reversal of 18994176 is 67149981.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 331776 = 4320^2 + 576^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 82830 + ... + 83058.

It is an arithmetic number, because the mean of its divisors is an integer number (517891).

Almost surely, 218994176 is an apocalyptic number.

18994176 is a gapful number since it is divisible by the number (16) 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 18994176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484005).

18994176 is an abundant number, since it is smaller than the sum of its proper divisors (37973834).

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

18994176 is an equidigital number, since it uses as much as digits as its factorization.

18994176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 18994176 is about 4358.2308337214. The cubic root of 18994176 is about 266.8128975751.

The spelling of 18994176 in words is "eighteen million, nine hundred ninety-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 229 256 288 324 384 432 458 512 576 648 687 768 864 916 1024 1152 1296 1374 1536 1728 1832 2061 2304 2592 2748 3072 3456 3664 4122 4608 5184 5496 6183 6912 7328 8244 9216 10368 10992 12366 13824 14656 16488 18549 20736 21984 24732 27648 29312 32976 37098 41472 43968 49464 58624 65952 74196 82944 87936 98928 117248 131904 148392 175872 197856 234496 263808 296784 351744 395712 527616 593568 703488 791424 1055232 1187136 1582848 2110464 2374272 3165696 4748544 6331392 9497088 18994176