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20189344 = 257193467
BaseRepresentation
bin100110100000…
…1000010100000
31101222201120111
41031001002200
520132024334
62000421104
7333415030
oct115010240
941881514
1020189344
111043a60a
126917794
13424b676
1429778c0
151b8c064
hex13410a0

20189344 has 48 divisors (see below), whose sum is σ = 45759168. Its totient is φ = 8589312.

The previous prime is 20189341. The next prime is 20189357. The reversal of 20189344 is 44398102.

It is a super-2 number, since 2×201893442 = 815219222300672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20189341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42999 + ... + 43465.

It is an arithmetic number, because the mean of its divisors is an integer number (953316).

Almost surely, 220189344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20189344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879584).

20189344 is an abundant number, since it is smaller than the sum of its proper divisors (25569824).

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

20189344 is a wasteful number, since it uses less digits than its factorization.

20189344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 20189344 is about 4493.2553900263. The cubic root of 20189344 is about 272.2956704090.

The spelling of 20189344 in words is "twenty million, one hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 467 772 934 1351 1544 1868 2702 3088 3269 3736 5404 6176 6538 7472 10808 13076 14944 21616 26152 43232 52304 90131 104608 180262 360524 630917 721048 1261834 1442096 2523668 2884192 5047336 10094672 20189344