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2196672 = 26317673
BaseRepresentation
bin1000011000010011000000
311010121021020
420120103000
51030243142
6115025440
724446202
oct10302300
94117236
102196672
111270435
1289b280
135bbb0a
14412772
152d5cec
hex2184c0

2196672 has 56 divisors (see below), whose sum is σ = 6163056. Its totient is φ = 688128.

The previous prime is 2196659. The next prime is 2196673. The reversal of 2196672 is 2766912.

2196672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2196673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2928 + ... + 3600.

22196672 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 2196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081528).

2196672 is an abundant number, since it is smaller than the sum of its proper divisors (3966384).

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

2196672 is a wasteful number, since it uses less digits than its factorization.

2196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 2196672 is about 1482.1174042565. The cubic root of 2196672 is about 129.9935302500.

The spelling of 2196672 in words is "two million, one hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 673 816 1088 1346 1632 2019 2692 3264 4038 5384 8076 10768 11441 16152 21536 22882 32304 34323 43072 45764 64608 68646 91528 129216 137292 183056 274584 366112 549168 732224 1098336 2196672