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18136440 = 2333572399
BaseRepresentation
bin100010100101…
…1110101111000
31021010102112000
41011023311320
514120331230
61444421000
7310104630
oct105136570
937112460
1018136440
11a2681a3
1260a7760
1339b012a
1425a16c0
1518d3b60
hex114bd78

18136440 has 128 divisors (see below), whose sum is σ = 69120000. Its totient is φ = 4143744.

The previous prime is 18136439. The next prime is 18136463. The reversal of 18136440 is 4463181.

18136440 is a `hidden beast` number, since 1 + 8 + 13 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6361 + ... + 8759.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 218136440 is an apocalyptic number.

18136440 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 18136440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560000).

18136440 is an abundant number, since it is smaller than the sum of its proper divisors (50983560).

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

18136440 is a wasteful number, since it uses less digits than its factorization.

18136440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18136440 is about 4258.6899394062. The cubic root of 18136440 is about 262.7346473304.

The spelling of 18136440 in words is "eighteen million, one hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2399 2520 3780 4798 7197 7560 9596 11995 14394 16793 19192 21591 23990 28788 33586 35985 43182 47980 50379 57576 64773 67172 71970 83965 86364 95960 100758 107955 129546 134344 143940 151137 167930 172728 201516 215910 251895 259092 287880 302274 323865 335860 403032 431820 453411 503790 518184 604548 647730 671720 755685 863640 906822 1007580 1209096 1295460 1511370 1813644 2015160 2267055 2590920 3022740 3627288 4534110 6045480 9068220 18136440