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2120712 = 2331129277
BaseRepresentation
bin1000000101110000001000
310222202001220
420011300020
51020330322
6113242040
724011556
oct10056010
93882056
102120712
111219360
12863320
13593379
143d2bd6
152bd55c
hex205c08

2120712 has 64 divisors (see below), whose sum is σ = 6004800. Its totient is φ = 618240.

The previous prime is 2120693. The next prime is 2120731. The reversal of 2120712 is 2170212.

It is an interprime number because it is at equal distance from previous prime (2120693) and next prime (2120731).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2120691 and 2120700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7518 + ... + 7794.

It is an arithmetic number, because the mean of its divisors is an integer number (93825).

22120712 is an apocalyptic number.

2120712 is a gapful number since it is divisible by the number (22) 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 2120712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002400).

2120712 is an abundant number, since it is smaller than the sum of its proper divisors (3884088).

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

2120712 is a wasteful number, since it uses less digits than its factorization.

2120712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2120712 is about 1456.2664591345. The cubic root of 2120712 is about 128.4775455726.

Adding to 2120712 its reverse (2170212), we get a palindrome (4290924).

The spelling of 2120712 in words is "two million, one hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 277 319 348 554 638 696 831 957 1108 1276 1662 1914 2216 2552 3047 3324 3828 6094 6648 7656 8033 9141 12188 16066 18282 24099 24376 32132 36564 48198 64264 73128 88363 96396 176726 192792 265089 353452 530178 706904 1060356 2120712