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18382840 = 2357283113
BaseRepresentation
bin100011000011…
…1111111111000
31021120221111221
41012013333320
514201222330
61454001424
7312152200
oct106077770
937527457
1018382840
11a416333
1261a6274
133a68328
142627400
151931b7a
hex1187ff8

18382840 has 96 divisors (see below), whose sum is σ = 49124880. Its totient is φ = 6171648.

The previous prime is 18382829. The next prime is 18382841. The reversal of 18382840 is 4828381.

It is a junction number, because it is equal to n+sod(n) for n = 18382796 and 18382805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18382841) 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, 162624 + ... + 162736.

Almost surely, 218382840 is an apocalyptic number.

18382840 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 18382840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562440).

18382840 is an abundant number, since it is smaller than the sum of its proper divisors (30742040).

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

18382840 is a wasteful number, since it uses less digits than its factorization.

18382840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 18382840 is about 4287.5214285179. The cubic root of 18382840 is about 263.9191288871.

The spelling of 18382840 in words is "eighteen million, three hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 83 98 113 140 166 196 226 245 280 332 392 415 452 490 565 581 664 791 830 904 980 1130 1162 1582 1660 1960 2260 2324 2905 3164 3320 3955 4067 4520 4648 5537 5810 6328 7910 8134 9379 11074 11620 15820 16268 18758 20335 22148 23240 27685 31640 32536 37516 40670 44296 46895 55370 65653 75032 81340 93790 110740 131306 162680 187580 221480 262612 328265 375160 459571 525224 656530 919142 1313060 1838284 2297855 2626120 3676568 4595710 9191420 18382840