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18290720 = 255722333
BaseRepresentation
bin100010111000…
…1100000100000
31021102021011002
41011301200200
514140300340
61452011132
7311316500
oct105614040
937367132
1018290720
11a3630a8
126160aa8
133a35416
142601a00
151914715
hex1171820

18290720 has 72 divisors (see below), whose sum is σ = 50288364. Its totient is φ = 6268416.

The previous prime is 18290707. The next prime is 18290761. The reversal of 18290720 is 2709281.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17875984 + 414736 = 4228^2 + 644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6674 + ... + 9006.

Almost surely, 218290720 is an apocalyptic number.

18290720 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 18290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25144182).

18290720 is an abundant number, since it is smaller than the sum of its proper divisors (31997644).

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

18290720 is a wasteful number, since it uses less digits than its factorization.

18290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 18290720 is about 4276.7651326674. The cubic root of 18290720 is about 263.4775403421.

The spelling of 18290720 in words is "eighteen million, two hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 2333 3920 4666 7840 9332 11665 16331 18664 23330 32662 37328 46660 65324 74656 81655 93320 114317 130648 163310 186640 228634 261296 326620 373280 457268 522592 571585 653240 914536 1143170 1306480 1829072 2286340 2612960 3658144 4572680 9145360 18290720