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20800192 = 267291601
BaseRepresentation
bin100111101011…
…0001011000000
31110010202111111
41033112023000
520311101232
62021453104
7341540650
oct117261300
943122444
1020800192
1110817546
126b71194
13440370a
142a96360
151c5d047
hex13d62c0

20800192 has 56 divisors (see below), whose sum is σ = 48828960. Its totient is φ = 8601600.

The previous prime is 20800183. The next prime is 20800201. The reversal of 20800192 is 29100802.

It is an interprime number because it is at equal distance from previous prime (20800183) and next prime (20800201).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12192 + ... + 13792.

Almost surely, 220800192 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 20800192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24414480).

20800192 is an abundant number, since it is smaller than the sum of its proper divisors (28028768).

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

20800192 is a wasteful number, since it uses less digits than its factorization.

20800192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 20800192 is about 4560.7227497404. The cubic root of 20800192 is about 275.0146196085.

Adding to 20800192 its reverse (29100802), we get a palindrome (49900994).

The spelling of 20800192 in words is "twenty million, eight hundred thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1601 1624 1856 3202 3248 6404 6496 11207 12808 12992 22414 25616 44828 46429 51232 89656 92858 102464 179312 185716 325003 358624 371432 650006 717248 742864 1300012 1485728 2600024 2971456 5200048 10400096 20800192