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20188380 = 2235477159
BaseRepresentation
bin100110100000…
…0110011011100
31101222200020210
41031000303130
520132012010
62000412420
7333412152
oct115006334
941880223
1020188380
1110439913
126917110
13424b0b4
1429773d2
151b8bb20
hex1340cdc

20188380 has 48 divisors (see below), whose sum is σ = 57738240. Its totient is φ = 5268288.

The previous prime is 20188361. The next prime is 20188381. The reversal of 20188380 is 8388102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20188381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 760 + ... + 6399.

It is an arithmetic number, because the mean of its divisors is an integer number (1202880).

Almost surely, 220188380 is an apocalyptic number.

20188380 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 20188380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28869120).

20188380 is an abundant number, since it is smaller than the sum of its proper divisors (37549860).

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

20188380 is a wasteful number, since it uses less digits than its factorization.

20188380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 20188380 is about 4493.1481168553. The cubic root of 20188380 is about 272.2913364857.

The spelling of 20188380 in words is "twenty million, one hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 7159 14318 21477 28636 35795 42954 71590 85908 107385 143180 214770 336473 429540 672946 1009419 1345892 1682365 2018838 3364730 4037676 5047095 6729460 10094190 20188380