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2110140 = 2232519617
BaseRepresentation
bin1000000011001010111100
310222012120100
420003022330
51020011030
6113121100
723636004
oct10031274
93865510
102110140
11121141a
12859190
1358b606
143cd004
152ba360
hex2032bc

2110140 has 72 divisors (see below), whose sum is σ = 6748560. Its totient is φ = 532224.

The previous prime is 2110133. The next prime is 2110151. The reversal of 2110140 is 410112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 3112 + ... + 3728.

It is an arithmetic number, because the mean of its divisors is an integer number (93730).

22110140 is an apocalyptic number.

2110140 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 2110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374280).

2110140 is an abundant number, since it is smaller than the sum of its proper divisors (4638420).

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

2110140 is a wasteful number, since it uses less digits than its factorization.

2110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2110140 is about 1452.6320938214. The cubic root of 2110140 is about 128.2636979088.

Adding to 2110140 its reverse (410112), we get a palindrome (2520252).

The spelling of 2110140 in words is "two million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 617 684 855 1140 1234 1710 1851 2468 3085 3420 3702 5553 6170 7404 9255 11106 11723 12340 18510 22212 23446 27765 35169 37020 46892 55530 58615 70338 105507 111060 117230 140676 175845 211014 234460 351690 422028 527535 703380 1055070 2110140