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18294640 = 2457213359
BaseRepresentation
bin100010111001…
…0011101110000
31021102110112021
41011302131300
514140412030
61452041224
7311334100
oct105623560
937373467
1018294640
11a366041
126163214
133a37140
142603200
15191597a
hex1172770

18294640 has 120 divisors (see below), whose sum is σ = 53434080. Its totient is φ = 5773824.

The previous prime is 18294629. The next prime is 18294649. The reversal of 18294640 is 4649281.

It is a junction number, because it is equal to n+sod(n) for n = 18294596 and 18294605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18294649) 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, 50781 + ... + 51139.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 218294640 is an apocalyptic number.

18294640 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 18294640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

18294640 is an abundant number, since it is smaller than the sum of its proper divisors (35139440).

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

18294640 is a wasteful number, since it uses less digits than its factorization.

18294640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 18294640 is about 4277.2233984210. The cubic root of 18294640 is about 263.4963615108.

The spelling of 18294640 in words is "eighteen million, two hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 359 364 392 455 490 520 560 637 718 728 784 910 980 1040 1274 1436 1456 1795 1820 1960 2513 2548 2872 3185 3590 3640 3920 4667 5026 5096 5744 6370 7180 7280 9334 10052 10192 12565 12740 14360 17591 18668 20104 23335 25130 25480 28720 32669 35182 37336 40208 46670 50260 50960 65338 70364 74672 87955 93340 100520 130676 140728 163345 175910 186680 201040 228683 261352 281456 326690 351820 373360 457366 522704 653380 703640 914732 1143415 1306760 1407280 1829464 2286830 2613520 3658928 4573660 9147320 18294640