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2114280 = 233257839
BaseRepresentation
bin1000000100001011101000
310222102020200
420010023220
51020124110
6113152200
723654040
oct10041350
93872220
102114280
111214543
1285b660
1359046c
143d0720
152bb6c0
hex2042e8

2114280 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 482688.

The previous prime is 2114269. The next prime is 2114297. The reversal of 2114280 is 824112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2101 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22114280 is an apocalyptic number.

2114280 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 2114280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2114280 is an abundant number, since it is smaller than the sum of its proper divisors (5748120).

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

2114280 is a wasteful number, since it uses less digits than its factorization.

2114280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2114280 is about 1454.0563950549. The cubic root of 2114280 is about 128.3475256507.

Adding to 2114280 its reverse (824112), we get a palindrome (2938392).

The spelling of 2114280 in words is "two million, one hundred fourteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 839 840 1260 1678 2517 2520 3356 4195 5034 5873 6712 7551 8390 10068 11746 12585 15102 16780 17619 20136 23492 25170 29365 30204 33560 35238 37755 46984 50340 52857 58730 60408 70476 75510 88095 100680 105714 117460 140952 151020 176190 211428 234920 264285 302040 352380 422856 528570 704760 1057140 2114280