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2077320 = 233572473
BaseRepresentation
bin111111011001010001000
310220112112210
413323022020
51012433240
6112305120
723441220
oct7731210
93815483
102077320
1111997a3
128421a0
135796ab
143c1080
152b0780
hex1fb288

2077320 has 64 divisors (see below), whose sum is σ = 7125120. Its totient is φ = 474624.

The previous prime is 2077319. The next prime is 2077321. The reversal of 2077320 is 237702.

2077320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2077319) and next prime (2077321).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2077321) 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 15 ways as a sum of consecutive naturals, for example, 397 + ... + 2076.

It is an arithmetic number, because the mean of its divisors is an integer number (111330).

22077320 is an apocalyptic number.

2077320 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 2077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562560).

2077320 is an abundant number, since it is smaller than the sum of its proper divisors (5047800).

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

2077320 is a wasteful number, since it uses less digits than its factorization.

2077320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 2077320 is about 1441.2910878792. The cubic root of 2077320 is about 127.5952383387.

The spelling of 2077320 in words is "two million, seventy-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2473 4946 7419 9892 12365 14838 17311 19784 24730 29676 34622 37095 49460 51933 59352 69244 74190 86555 98920 103866 138488 148380 173110 207732 259665 296760 346220 415464 519330 692440 1038660 2077320