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18982480 = 2451123753
BaseRepresentation
bin100100001101…
…0011001010000
31022201102001211
41020122121100
514324414410
61514505504
7320230336
oct110323120
938642054
1018982480
11a795900
126435294
133c1824a
142741b56
1519ee68a
hex121a650

18982480 has 120 divisors (see below), whose sum is σ = 50762376. Its totient is φ = 6589440.

The previous prime is 18982477. The next prime is 18982487. The reversal of 18982480 is 8428981.

It can be written as a sum of positive squares in 4 ways, for example, as 7203856 + 11778624 = 2684^2 + 3432^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18982487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358134 + ... + 358186.

Almost surely, 218982480 is an apocalyptic number.

18982480 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 18982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381188).

18982480 is an abundant number, since it is smaller than the sum of its proper divisors (31779896).

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

18982480 is a wasteful number, since it uses less digits than its factorization.

18982480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 18982480 is about 4356.8887982137. Note that the first 3 decimals coincide. The cubic root of 18982480 is about 266.7581214093.

The spelling of 18982480 in words is "eighteen million, nine hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 53 55 74 80 88 106 110 121 148 176 185 212 220 242 265 296 370 407 424 440 484 530 583 592 605 740 814 848 880 968 1060 1166 1210 1480 1628 1936 1961 2035 2120 2332 2420 2915 2960 3256 3922 4070 4240 4477 4664 4840 5830 6413 6512 7844 8140 8954 9328 9680 9805 11660 12826 15688 16280 17908 19610 21571 22385 23320 25652 31376 32065 32560 35816 39220 43142 44770 46640 51304 64130 71632 78440 86284 89540 102608 107855 128260 156880 172568 179080 215710 237281 256520 345136 358160 431420 474562 513040 862840 949124 1186405 1725680 1898248 2372810 3796496 4745620 9491240 18982480