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2114680 = 235291823
BaseRepresentation
bin1000000100010001111000
310222102210111
420010101320
51020132210
6113154104
723655151
oct10042170
93872714
102114680
111214877
1285b934
135906b9
143d0928
152bb88a
hex204478

2114680 has 32 divisors (see below), whose sum is σ = 4924800. Its totient is φ = 816256.

The previous prime is 2114653. The next prime is 2114699. The reversal of 2114680 is 864112.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 249 + ... + 2071.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

22114680 is an apocalyptic number.

2114680 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 2114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462400).

2114680 is an abundant number, since it is smaller than the sum of its proper divisors (2810120).

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

2114680 is a wasteful number, since it uses less digits than its factorization.

2114680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2114680 is about 1454.1939347969. The cubic root of 2114680 is about 128.3556191503.

Adding to 2114680 its reverse (864112), we get a palindrome (2978792).

The spelling of 2114680 in words is "two million, one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1823 3646 7292 9115 14584 18230 36460 52867 72920 105734 211468 264335 422936 528670 1057340 2114680