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13021992 = 2333192167
BaseRepresentation
bin110001101011…
…001100101000
3220111120211000
4301223030220
511313200432
61143035000
7215453664
oct61531450
926446730
1013021992
117394685
12443ba60
13290c229
141a2d8a4
15122357c
hexc6b328

13021992 has 96 divisors (see below), whose sum is σ = 38404800. Its totient is φ = 4087584.

The previous prime is 13021927. The next prime is 13021993. The reversal of 13021992 is 29912031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13021993) 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 23 ways as a sum of consecutive naturals, for example, 77893 + ... + 78059.

It is an arithmetic number, because the mean of its divisors is an integer number (400050).

Almost surely, 213021992 is an apocalyptic number.

13021992 is a gapful number since it is divisible by the number (12) 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 13021992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202400).

13021992 is an abundant number, since it is smaller than the sum of its proper divisors (25382808).

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

13021992 is a wasteful number, since it uses less digits than its factorization.

13021992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13021992 is about 3608.5997284265. The cubic root of 13021992 is about 235.2659852346.

It can be divided in two parts, 130 and 21992, that added together give a palindrome (22122).

The spelling of 13021992 in words is "thirteen million, twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 167 171 216 228 334 342 361 456 501 513 668 684 722 1002 1026 1083 1336 1368 1444 1503 2004 2052 2166 2888 3006 3173 3249 4008 4104 4332 4509 6012 6346 6498 8664 9018 9519 9747 12024 12692 12996 18036 19038 19494 25384 25992 28557 36072 38076 38988 57114 60287 76152 77976 85671 114228 120574 171342 180861 228456 241148 342684 361722 482296 542583 685368 723444 1085166 1446888 1627749 2170332 3255498 4340664 6510996 13021992