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2120760 = 2332543137
BaseRepresentation
bin1000000101110000111000
310222202010200
420011300320
51020331020
6113242200
724011655
oct10056070
93882120
102120760
1112193a4
12863360
135933b5
143d2c2c
152bd590
hex205c38

2120760 has 96 divisors (see below), whose sum is σ = 7104240. Its totient is φ = 548352.

The previous prime is 2120753. The next prime is 2120771. The reversal of 2120760 is 670212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15412 + ... + 15548.

22120760 is an apocalyptic number.

2120760 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 2120760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552120).

2120760 is an abundant number, since it is smaller than the sum of its proper divisors (4983480).

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

2120760 is a wasteful number, since it uses less digits than its factorization.

2120760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2120760 is about 1456.2829395416. The cubic root of 2120760 is about 128.4785148816.

Adding to 2120760 its reverse (670212), we get a palindrome (2790972).

The spelling of 2120760 in words is "two million, one hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 137 172 180 215 258 274 344 360 387 411 430 516 548 645 685 774 822 860 1032 1096 1233 1290 1370 1548 1644 1720 1935 2055 2466 2580 2740 3096 3288 3870 4110 4932 5160 5480 5891 6165 7740 8220 9864 11782 12330 15480 16440 17673 23564 24660 29455 35346 47128 49320 53019 58910 70692 88365 106038 117820 141384 176730 212076 235640 265095 353460 424152 530190 706920 1060380 2120760