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2078240 = 25531419
BaseRepresentation
bin111111011011000100000
310220120210212
413323120200
51013000430
6112313252
723444003
oct7733040
93816725
102078240
11119a45a
12842828
13579c38
143c153a
152b0b95
hex1fb620

2078240 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 802560.

The previous prime is 2078221. The next prime is 2078243. The reversal of 2078240 is 428702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4751 + ... + 5169.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22078240 is an apocalyptic number.

2078240 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 2078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2078240 is an abundant number, since it is smaller than the sum of its proper divisors (3002080).

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

2078240 is a wasteful number, since it uses less digits than its factorization.

2078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2078240 is about 1441.6102108406. The cubic root of 2078240 is about 127.6140719471.

The spelling of 2078240 in words is "two million, seventy-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 419 496 620 838 992 1240 1676 2095 2480 3352 4190 4960 6704 8380 12989 13408 16760 25978 33520 51956 64945 67040 103912 129890 207824 259780 415648 519560 1039120 2078240