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2664172 = 2271729193
BaseRepresentation
bin1010001010011011101100
312000100120001
422022123230
51140223142
6133034044
731434160
oct12123354
95010501
102664172
11155a6a5
12a85924
13723844
144d4ca0
153795b7
hex28a6ec

2664172 has 48 divisors (see below), whose sum is σ = 5866560. Its totient is φ = 1032192.

The previous prime is 2664169. The next prime is 2664173. The reversal of 2664172 is 2714662.

2664172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2664172.

It is not an unprimeable number, because it can be changed into a prime (2664173) 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, 13708 + ... + 13900.

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

22664172 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 2664172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933280).

2664172 is an abundant number, since it is smaller than the sum of its proper divisors (3202388).

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

2664172 is a wasteful number, since it uses less digits than its factorization.

2664172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 2664172 is about 1632.2291505790. The cubic root of 2664172 is about 138.6289987471.

The spelling of 2664172 in words is "two million, six hundred sixty-four thousand, one hundred seventy-two".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 193 203 238 386 406 476 493 772 812 986 1351 1972 2702 3281 3451 5404 5597 6562 6902 11194 13124 13804 22388 22967 39179 45934 78358 91868 95149 156716 190298 380596 666043 1332086 2664172