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2040640 = 2657911
BaseRepresentation
bin111110010001101000000
310211200020021
413302031000
51010300030
6111423224
723226250
oct7621500
93750207
102040640
111174188
12824b14
13565aa4
143b1960
152a497a
hex1f2340

2040640 has 56 divisors (see below), whose sum is σ = 5559552. Its totient is φ = 698880.

The previous prime is 2040607. The next prime is 2040641. The reversal of 2040640 is 460402.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040641) 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, 1785 + ... + 2695.

22040640 is an apocalyptic number.

2040640 is a gapful number since it is divisible by the number (20) 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 2040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779776).

2040640 is an abundant number, since it is smaller than the sum of its proper divisors (3518912).

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

2040640 is an equidigital number, since it uses as much as digits as its factorization.

2040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2040640 is about 1428.5097129526. The cubic root of 2040640 is about 126.8397756244.

The spelling of 2040640 in words is "two million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 911 1120 1822 2240 3644 4555 6377 7288 9110 12754 14576 18220 25508 29152 31885 36440 51016 58304 63770 72880 102032 127540 145760 204064 255080 291520 408128 510160 1020320 2040640