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2086672 = 24731601
BaseRepresentation
bin111111101011100010000
310221000101011
413331130100
51013233142
6112420304
723510410
oct7753420
93830334
102086672
1111a5825
12847694
13580a23
143c4640
152b3417
hex1fd710

2086672 has 40 divisors (see below), whose sum is σ = 4777472. Its totient is φ = 864000.

The previous prime is 2086657. The next prime is 2086673. The reversal of 2086672 is 2766802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2086673) 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, 3172 + ... + 3772.

22086672 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 2086672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388736).

2086672 is an abundant number, since it is smaller than the sum of its proper divisors (2690800).

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

2086672 is a wasteful number, since it uses less digits than its factorization.

2086672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2086672 is about 1444.5317580448. The cubic root of 2086672 is about 127.7864276998.

The spelling of 2086672 in words is "two million, eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 601 868 1202 1736 2404 3472 4207 4808 8414 9616 16828 18631 33656 37262 67312 74524 130417 149048 260834 298096 521668 1043336 2086672