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2039440 = 245133753
BaseRepresentation
bin111110001111010010000
310211121120211
413301322100
51010230230
6111413504
723222614
oct7617220
93747524
102039440
111173297
12824294
13565390
143b1344
152a442a
hex1f1e90

2039440 has 80 divisors (see below), whose sum is σ = 5343408. Its totient is φ = 718848.

The previous prime is 2039437. The next prime is 2039461. The reversal of 2039440 is 449302.

It can be written as a sum of positive squares in 8 ways, for example, as 11664 + 2027776 = 108^2 + 1424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38454 + ... + 38506.

22039440 is an apocalyptic number.

2039440 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 2039440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671704).

2039440 is an abundant number, since it is smaller than the sum of its proper divisors (3303968).

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

2039440 is a wasteful number, since it uses less digits than its factorization.

2039440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2039440 is about 1428.0896330413. The cubic root of 2039440 is about 126.8149080051.

The spelling of 2039440 in words is "two million, thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 53 65 74 80 104 106 130 148 185 208 212 260 265 296 370 424 481 520 530 592 689 740 848 962 1040 1060 1378 1480 1924 1961 2120 2405 2756 2960 3445 3848 3922 4240 4810 5512 6890 7696 7844 9620 9805 11024 13780 15688 19240 19610 25493 27560 31376 38480 39220 50986 55120 78440 101972 127465 156880 203944 254930 407888 509860 1019720 2039440