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18988480 = 26573173
BaseRepresentation
bin100100001101…
…1110111000000
31022201201022001
41020123313000
514330112410
61514553344
7320254000
oct110336700
938651261
1018988480
11a79a365
126438854
133c1abb4
142744000
151a0133a
hex121bdc0

18988480 has 112 divisors (see below), whose sum is σ = 53035200. Its totient is φ = 6472704.

The previous prime is 18988471. The next prime is 18988483. The reversal of 18988480 is 8488981.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 18988480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18988483) 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 15 ways as a sum of consecutive naturals, for example, 109674 + ... + 109846.

Almost surely, 218988480 is an apocalyptic number.

18988480 is a gapful number since it is divisible by the number (10) 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 18988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26517600).

18988480 is an abundant number, since it is smaller than the sum of its proper divisors (34046720).

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

18988480 is an equidigital number, since it uses as much as digits as its factorization.

18988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 46.

The square root of 18988480 is about 4357.5773085512. The cubic root of 18988480 is about 266.7862241673.

The spelling of 18988480 in words is "eighteen million, nine hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 173 196 224 245 280 320 343 346 392 448 490 560 686 692 784 865 980 1120 1211 1372 1384 1568 1715 1730 1960 2240 2422 2744 2768 3136 3430 3460 3920 4844 5488 5536 6055 6860 6920 7840 8477 9688 10976 11072 12110 13720 13840 15680 16954 19376 21952 24220 27440 27680 33908 38752 42385 48440 54880 55360 59339 67816 77504 84770 96880 109760 118678 135632 169540 193760 237356 271264 296695 339080 387520 474712 542528 593390 678160 949424 1186780 1356320 1898848 2373560 2712640 3797696 4747120 9494240 18988480