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2135112 = 233771179
BaseRepresentation
bin1000001001010001001000
311000110211020
420021101020
51021310422
6113432440
724101550
oct10112110
94013736
102135112
111229161
1286b720
13599aa5
143d8160
152c295c
hex209448

2135112 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 598080.

The previous prime is 2135101. The next prime is 2135117. The reversal of 2135112 is 2115312.

It is a junction number, because it is equal to n+sod(n) for n = 2135091 and 2135100.

It is not an unprimeable number, because it can be changed into a prime (2135117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11839 + ... + 12017.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22135112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2135112 is an abundant number, since it is smaller than the sum of its proper divisors (4085688).

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

2135112 is a wasteful number, since it uses less digits than its factorization.

2135112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 2135112 is about 1461.2022447286. The cubic root of 2135112 is about 128.7676847546.

The spelling of 2135112 in words is "two million, one hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 179 213 284 358 426 497 537 568 716 852 994 1074 1253 1432 1491 1704 1988 2148 2506 2982 3759 3976 4296 5012 5964 7518 10024 11928 12709 15036 25418 30072 38127 50836 76254 88963 101672 152508 177926 266889 305016 355852 533778 711704 1067556 2135112