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5990320 = 245719563
BaseRepresentation
bin10110110110011110110000
3102021100011201
4112312132300
53013142240
6332220544
7101626330
oct26663660
912240151
105990320
113421686
12200a754
13131978b
14b1d0c0
157d4d9a
hex5b67b0

5990320 has 80 divisors (see below), whose sum is σ = 16784640. Its totient is φ = 1942272.

The previous prime is 5990317. The next prime is 5990353. The reversal of 5990320 is 230995.

5990320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10359 + ... + 10921.

It is an arithmetic number, because the mean of its divisors is an integer number (209808).

Almost surely, 25990320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392320).

5990320 is an abundant number, since it is smaller than the sum of its proper divisors (10794320).

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

5990320 is a wasteful number, since it uses less digits than its factorization.

5990320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 5990320 is about 2447.5130234587. The cubic root of 5990320 is about 181.6142859766.

The spelling of 5990320 in words is "five million, nine hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 563 665 760 1064 1126 1330 1520 2128 2252 2660 2815 3941 4504 5320 5630 7882 9008 10640 10697 11260 15764 19705 21394 22520 31528 39410 42788 45040 53485 63056 74879 78820 85576 106970 149758 157640 171152 213940 299516 315280 374395 427880 599032 748790 855760 1198064 1497580 2995160 5990320