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10018320 = 243513319
BaseRepresentation
bin100110001101…
…111000010000
3200211222112220
4212031320100
510031041240
6554421040
7151103634
oct46157020
920758486
1010018320
115722a04
123431780
1320ca000
14148adc4
15d2d5d0
hex98de10

10018320 has 160 divisors (see below), whose sum is σ = 35414400. Its totient is φ = 2336256.

The previous prime is 10018319. The next prime is 10018357. The reversal of 10018320 is 2381001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10018320.

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, 527271 + ... + 527289.

It is an arithmetic number, because the mean of its divisors is an integer number (221340).

Almost surely, 210018320 is an apocalyptic number.

10018320 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 10018320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707200).

10018320 is an abundant number, since it is smaller than the sum of its proper divisors (25396080).

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

10018320 is a wasteful number, since it uses less digits than its factorization.

10018320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10018320 is about 3165.1729810549. The cubic root of 10018320 is about 215.5749528881.

Adding to 10018320 its reverse (2381001), we get a palindrome (12399321).

The spelling of 10018320 in words is "ten million, eighteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 169 190 195 208 228 240 247 260 285 304 312 338 380 390 456 494 507 520 570 624 676 741 760 780 845 912 988 1014 1040 1140 1235 1352 1482 1520 1560 1690 1976 2028 2197 2280 2470 2535 2704 2964 3120 3211 3380 3705 3952 4056 4394 4560 4940 5070 5928 6422 6591 6760 7410 8112 8788 9633 9880 10140 10985 11856 12844 13182 13520 14820 16055 17576 19266 19760 20280 21970 25688 26364 29640 32110 32955 35152 38532 40560 41743 43940 48165 51376 52728 59280 64220 65910 77064 83486 87880 96330 105456 125229 128440 131820 154128 166972 175760 192660 208715 250458 256880 263640 333944 385320 417430 500916 527280 626145 667888 770640 834860 1001832 1252290 1669720 2003664 2504580 3339440 5009160 10018320