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2135268 = 2233171163
BaseRepresentation
bin1000001001010011100100
311000111001000
420021103210
51021312033
6113433300
724102162
oct10112344
94014030
102135268
111229293
1286b830
13599b95
143d8232
152c2a13
hex2094e4

2135268 has 48 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 669312.

The previous prime is 2135267. The next prime is 2135279. The reversal of 2135268 is 8625312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2135267) 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, 1255 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (122220).

22135268 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 2135268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933280).

2135268 is an abundant number, since it is smaller than the sum of its proper divisors (3731292).

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

2135268 is a wasteful number, since it uses less digits than its factorization.

2135268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2135268 is about 1461.2556244545. The cubic root of 2135268 is about 128.7708207758.

The spelling of 2135268 in words is "two million, one hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1163 1836 2326 3489 4652 6978 10467 13956 19771 20934 31401 39542 41868 59313 62802 79084 118626 125604 177939 237252 355878 533817 711756 1067634 2135268