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18361000 = 235374361
BaseRepresentation
bin100011000001…
…0101010101000
31021112211120001
41012002222220
514200023000
61453312344
7312031420
oct106025250
937484501
1018361000
11a400989
1261956b4
133a5b3c8
14261d480
15192a46a
hex1182aa8

18361000 has 128 divisors (see below), whose sum is σ = 51068160. Its totient is φ = 6048000.

The previous prime is 18360997. The next prime is 18361051. The reversal of 18361000 is 16381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300970 + ... + 301030.

It is an arithmetic number, because the mean of its divisors is an integer number (398970).

Almost surely, 218361000 is an apocalyptic number.

18361000 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 18361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

18361000 is an abundant number, since it is smaller than the sum of its proper divisors (32707160).

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

18361000 is a wasteful number, since it uses less digits than its factorization.

18361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 18361000 is about 4284.9737455438. The cubic root of 18361000 is about 263.8145698173.

Adding to 18361000 its reverse (16381), we get a palindrome (18377381).

The spelling of 18361000 in words is "eighteen million, three hundred sixty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 61 70 86 100 122 125 140 172 175 200 215 244 250 280 301 305 344 350 427 430 488 500 602 610 700 854 860 875 1000 1075 1204 1220 1400 1505 1525 1708 1720 1750 2135 2150 2408 2440 2623 3010 3050 3416 3500 4270 4300 5246 5375 6020 6100 7000 7525 7625 8540 8600 10492 10675 10750 12040 12200 13115 15050 15250 17080 18361 20984 21350 21500 26230 30100 30500 36722 37625 42700 43000 52460 53375 60200 61000 65575 73444 75250 85400 91805 104920 106750 131150 146888 150500 183610 213500 262300 301000 327875 367220 427000 459025 524600 655750 734440 918050 1311500 1836100 2295125 2623000 3672200 4590250 9180500 18361000