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18688950 = 23252717349
BaseRepresentation
bin100011101001…
…0101110110110
31022011111102100
41013102232312
514241021300
61504322530
7314565510
oct107225666
938144370
1018688950
11a605315
126313446
133b44767
1426a6bb0
151992700
hex11d2bb6

18688950 has 144 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 4008960.

The previous prime is 18688931. The next prime is 18688979. The reversal of 18688950 is 5988681.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 18688896 and 18688905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53376 + ... + 53724.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 218688950 is an apocalyptic number.

18688950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18688950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

18688950 is an abundant number, since it is smaller than the sum of its proper divisors (42244650).

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

18688950 is a wasteful number, since it uses less digits than its factorization.

18688950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 18688950 is about 4323.0718245248. The cubic root of 18688950 is about 265.3759940973.

The spelling of 18688950 in words is "eighteen million, six hundred eighty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 63 70 75 85 90 102 105 119 126 150 153 170 175 210 225 238 255 306 315 349 350 357 425 450 510 525 595 630 698 714 765 850 1047 1050 1071 1190 1275 1530 1575 1745 1785 2094 2142 2443 2550 2975 3141 3150 3490 3570 3825 4886 5235 5355 5933 5950 6282 7329 7650 8725 8925 10470 10710 11866 12215 14658 15705 17450 17799 17850 21987 24430 26175 26775 29665 31410 35598 36645 41531 43974 52350 53397 53550 59330 61075 73290 78525 83062 88995 106794 109935 122150 124593 148325 157050 177990 183225 207655 219870 249186 266985 296650 366450 373779 415310 444975 533970 549675 622965 747558 889950 1038275 1099350 1245930 1334925 1868895 2076550 2669850 3114825 3737790 6229650 9344475 18688950