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2116960 = 255101131
BaseRepresentation
bin1000000100110101100000
310222112220221
420010311200
51020220320
6113212424
723664616
oct10046540
93875827
102116960
11121655a
12861114
13591751
143d16b6
152bc3aa
hex204d60

2116960 has 48 divisors (see below), whose sum is σ = 5089392. Its totient is φ = 832000.

The previous prime is 2116957. The next prime is 2116967. The reversal of 2116960 is 696112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116967) 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, 16095 + ... + 16225.

It is an arithmetic number, because the mean of its divisors is an integer number (106029).

22116960 is an apocalyptic number.

2116960 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 2116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544696).

2116960 is an abundant number, since it is smaller than the sum of its proper divisors (2972432).

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

2116960 is a wasteful number, since it uses less digits than its factorization.

2116960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 2116960 is about 1454.9776630588. The cubic root of 2116960 is about 128.4017326203.

The spelling of 2116960 in words is "two million, one hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 131 160 202 262 404 505 524 655 808 1010 1048 1310 1616 2020 2096 2620 3232 4040 4192 5240 8080 10480 13231 16160 20960 26462 52924 66155 105848 132310 211696 264620 423392 529240 1058480 2116960