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2078720 = 2115729
BaseRepresentation
bin111111011100000000000
310220121110122
413323200000
51013004340
6112315412
723445260
oct7734000
93817418
102078720
11119a856
12842b68
1357a217
143c17a0
152b0db5
hex1fb800

2078720 has 96 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 688128.

The previous prime is 2078719. The next prime is 2078723. The reversal of 2078720 is 278702.

It is a self number, because there is not a number n which added to its sum of digits gives 2078720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078723) 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, 71666 + ... + 71694.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

22078720 is an apocalyptic number.

2078720 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 2078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2078720 is an abundant number, since it is smaller than the sum of its proper divisors (3818080).

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

2078720 is an equidigital number, since it uses as much as digits as its factorization.

2078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 2078720 is about 1441.7766817368. The cubic root of 2078720 is about 127.6238959711.

The spelling of 2078720 in words is "two million, seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 256 280 290 320 406 448 464 512 560 580 640 812 896 928 1015 1024 1120 1160 1280 1624 1792 1856 2030 2048 2240 2320 2560 3248 3584 3712 4060 4480 4640 5120 6496 7168 7424 8120 8960 9280 10240 12992 14336 14848 16240 17920 18560 25984 29696 32480 35840 37120 51968 59392 64960 71680 74240 103936 129920 148480 207872 259840 296960 415744 519680 1039360 2078720