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2113280 = 28513127
BaseRepresentation
bin1000000011111100000000
310222100212122
420003330000
51020111110
6113143412
723651111
oct10037400
93870778
102113280
111213814
1285ab68
1358cb80
143d0208
152bb255
hex203f00

2113280 has 72 divisors (see below), whose sum is σ = 5494272. Its totient is φ = 774144.

The previous prime is 2113273. The next prime is 2113283. The reversal of 2113280 is 823112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113283) 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, 16577 + ... + 16703.

22113280 is an apocalyptic number.

2113280 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 2113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747136).

2113280 is an abundant number, since it is smaller than the sum of its proper divisors (3380992).

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

2113280 is a wasteful number, since it uses less digits than its factorization.

2113280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2113280 is about 1453.7124887680. The cubic root of 2113280 is about 128.3272874347.

Adding to 2113280 its reverse (823112), we get a palindrome (2936392).

It can be divided in two parts, 21132 and 80, that added together give a palindrome (21212).

The spelling of 2113280 in words is "two million, one hundred thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 256 260 320 416 508 520 635 640 832 1016 1040 1270 1280 1651 1664 2032 2080 2540 3302 3328 4064 4160 5080 6604 8128 8255 8320 10160 13208 16256 16510 16640 20320 26416 32512 33020 40640 52832 66040 81280 105664 132080 162560 211328 264160 422656 528320 1056640 2113280