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20188140 = 2235771677
BaseRepresentation
bin100110100000…
…0101111101100
31101222122220220
41031000233230
520132010030
62000411340
7333411360
oct115005754
941878826
1020188140
1110439715
126916b50
13424ac5b
1429772a0
151b8ba10
hex1340bec

20188140 has 96 divisors (see below), whose sum is σ = 65608704. Its totient is φ = 4542720.

The previous prime is 20188111. The next prime is 20188141. The reversal of 20188140 is 4188102.

It is a self number, because there is not a number n which added to its sum of digits gives 20188140.

It is not an unprimeable number, because it can be changed into a prime (20188141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29482 + ... + 30158.

It is an arithmetic number, because the mean of its divisors is an integer number (683424).

Almost surely, 220188140 is an apocalyptic number.

20188140 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 20188140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32804352).

20188140 is an abundant number, since it is smaller than the sum of its proper divisors (45420564).

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

20188140 is a wasteful number, since it uses less digits than its factorization.

20188140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 20188140 is about 4493.1214094436. The cubic root of 20188140 is about 272.2902574792.

The spelling of 20188140 in words is "twenty million, one hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 677 710 852 994 1065 1354 1420 1491 1988 2031 2130 2485 2708 2982 3385 4062 4260 4739 4970 5964 6770 7455 8124 9478 9940 10155 13540 14217 14910 18956 20310 23695 28434 29820 40620 47390 48067 56868 71085 94780 96134 142170 144201 192268 240335 284340 288402 336469 480670 576804 672938 721005 961340 1009407 1345876 1442010 1682345 2018814 2884020 3364690 4037628 5047035 6729380 10094070 20188140