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2040672 = 25329733
BaseRepresentation
bin111110010001101100000
310211200021110
413302031200
51010300142
6111423320
723226324
oct7621540
93750243
102040672
111174207
12824b40
13565aca
143b1984
152a499c
hex1f2360

2040672 has 48 divisors (see below), whose sum is σ = 5549040. Its totient is φ = 655872.

The previous prime is 2040653. The next prime is 2040679. The reversal of 2040672 is 2760402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×20406723 = 25494169648792633344, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040679) 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, 2418 + ... + 3150.

It is an arithmetic number, because the mean of its divisors is an integer number (115605).

22040672 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 2040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774520).

2040672 is an abundant number, since it is smaller than the sum of its proper divisors (3508368).

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

2040672 is a wasteful number, since it uses less digits than its factorization.

2040672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2040672 is about 1428.5209133926. The cubic root of 2040672 is about 126.8404386275.

The spelling of 2040672 in words is "two million, forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 733 928 1392 1466 2199 2784 2932 4398 5864 8796 11728 17592 21257 23456 35184 42514 63771 70368 85028 127542 170056 255084 340112 510168 680224 1020336 2040672