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2166032 = 241131397
BaseRepresentation
bin1000010000110100010000
311002001020102
420100310100
51023303112
6114231532
724260651
oct10206420
94061212
102166032
11124a410
128855a8
135aab9b
14405528
152cbbc2
hex210d10

2166032 has 40 divisors (see below), whose sum is σ = 4737792. Its totient is φ = 950400.

The previous prime is 2166029. The next prime is 2166041. The reversal of 2166032 is 2306612.

2166032 is nontrivially palindromic in base 15.

It is a d-powerful number, because it can be written as 211 + 1 + 6 + 65 + 0 + 310 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 2165995 and 2166013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5258 + ... + 5654.

22166032 is an apocalyptic number.

2166032 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 2166032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368896).

2166032 is an abundant number, since it is smaller than the sum of its proper divisors (2571760).

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

2166032 is a wasteful number, since it uses less digits than its factorization.

2166032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2166032 is about 1471.7445430509. The cubic root of 2166032 is about 129.3862987324.

The spelling of 2166032 in words is "two million, one hundred sixty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 397 496 682 794 1364 1588 2728 3176 4367 5456 6352 8734 12307 17468 24614 34936 49228 69872 98456 135377 196912 270754 541508 1083016 2166032