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20188480 = 2651323211
BaseRepresentation
bin100110100000…
…0110101000000
31101222200101111
41031000311000
520132012410
62000413104
7333412354
oct115006500
941880344
1020188480
11104399a4
126917194
13424b160
142977464
151b8bb8a
hex1340d40

20188480 has 112 divisors (see below), whose sum is σ = 54278784. Its totient is φ = 7096320.

The previous prime is 20188477. The next prime is 20188481. The reversal of 20188480 is 8488102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20188481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95575 + ... + 95785.

It is an arithmetic number, because the mean of its divisors is an integer number (484632).

Almost surely, 220188480 is an apocalyptic number.

20188480 is a gapful number since it is divisible by the number (20) 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 20188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27139392).

20188480 is an abundant number, since it is smaller than the sum of its proper divisors (34090304).

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

20188480 is a wasteful number, since it uses less digits than its factorization.

20188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 20188480 is about 4493.1592448966. The cubic root of 20188480 is about 272.2917860693.

The spelling of 20188480 in words is "twenty million, one hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 130 160 184 208 211 230 260 299 320 368 416 422 460 520 598 736 832 844 920 1040 1055 1196 1472 1495 1688 1840 2080 2110 2392 2743 2990 3376 3680 4160 4220 4784 4853 5486 5980 6752 7360 8440 9568 9706 10972 11960 13504 13715 16880 19136 19412 21944 23920 24265 27430 33760 38824 43888 47840 48530 54860 63089 67520 77648 87776 95680 97060 109720 126178 155296 175552 194120 219440 252356 310592 315445 388240 438880 504712 630890 776480 877760 1009424 1261780 1552960 2018848 2523560 4037696 5047120 10094240 20188480