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2166048 = 253323109
BaseRepresentation
bin1000010000110100100000
311002001021000
420100310200
51023303143
6114232000
724261003
oct10206440
94061230
102166048
11124a425
12885600
135aabb1
1440553a
152cbbd3
hex210d20

2166048 has 96 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 684288.

The previous prime is 2166041. The next prime is 2166053. The reversal of 2166048 is 8406612.

It is a tau number, because it is divible by the number of its divisors (96).

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 (2166041) 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, 19818 + ... + 19926.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

22166048 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 2166048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2166048 is an abundant number, since it is smaller than the sum of its proper divisors (4486752).

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

2166048 is a wasteful number, since it uses less digits than its factorization.

2166048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2166048 is about 1471.7499787668. The cubic root of 2166048 is about 129.3866173143.

It can be divided in two parts, 216604 and 8, that added together give a palindrome (216612).

The spelling of 2166048 in words is "two million, one hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 109 138 144 184 207 216 218 276 288 327 368 414 432 436 552 621 654 736 828 864 872 981 1104 1242 1308 1656 1744 1962 2208 2484 2507 2616 2943 3312 3488 3924 4968 5014 5232 5886 6624 7521 7848 9936 10028 10464 11772 15042 15696 19872 20056 22563 23544 30084 31392 40112 45126 47088 60168 67689 80224 90252 94176 120336 135378 180504 240672 270756 361008 541512 722016 1083024 2166048