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2075172 = 2231179199
BaseRepresentation
bin111111010101000100100
310220102121020
413322220210
51012401142
6112251140
723432031
oct7725044
93812536
102075172
111198120
12840ab0
13578718
143c0388
152aecec
hex1faa24

2075172 has 48 divisors (see below), whose sum is σ = 5376000. Its totient is φ = 617760.

The previous prime is 2075167. The next prime is 2075179. The reversal of 2075172 is 2715702.

2075172 = T33 + T34 + ... + T231.

It is not an unprimeable number, because it can be changed into a prime (2075179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10329 + ... + 10527.

It is an arithmetic number, because the mean of its divisors is an integer number (112000).

22075172 is an apocalyptic number.

2075172 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 2075172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688000).

2075172 is an abundant number, since it is smaller than the sum of its proper divisors (3300828).

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

2075172 is a wasteful number, since it uses less digits than its factorization.

2075172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 2075172 is about 1440.5457299232. The cubic root of 2075172 is about 127.5512442994.

The spelling of 2075172 in words is "two million, seventy-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 199 237 316 398 474 597 796 869 948 1194 1738 2189 2388 2607 3476 4378 5214 6567 8756 10428 13134 15721 26268 31442 47163 62884 94326 172931 188652 345862 518793 691724 1037586 2075172