Search a number
-
+
6235320 = 2335713571
BaseRepresentation
bin10111110010010010111000
3102201210020210
4113302102320
53044012240
6341351120
7103666530
oct27622270
912653223
106235320
113579763
1221084a0
1313a4150
14b844c0
15832780
hex5f24b8

6235320 has 128 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 1313280.

The previous prime is 6235289. The next prime is 6235331. The reversal of 6235320 is 235326.

6235320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10635 + ... + 11205.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 26235320 is an apocalyptic number.

6235320 is a gapful number since it is divisible by the number (60) 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 6235320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

6235320 is an abundant number, since it is smaller than the sum of its proper divisors (16827720).

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

6235320 is a wasteful number, since it uses less digits than its factorization.

6235320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 6235320 is about 2497.0622739531. The cubic root of 6235320 is about 184.0572443187.

It can be divided in two parts, 6235 and 320, that added together give a triangular number (6555 = T114).

The spelling of 6235320 in words is "six million, two hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 571 728 780 840 910 1092 1142 1365 1560 1713 1820 2184 2284 2730 2855 3426 3640 3997 4568 5460 5710 6852 7423 7994 8565 10920 11420 11991 13704 14846 15988 17130 19985 22269 22840 23982 29692 31976 34260 37115 39970 44538 47964 51961 59384 59955 68520 74230 79940 89076 95928 103922 111345 119910 148460 155883 159880 178152 207844 222690 239820 259805 296920 311766 415688 445380 479640 519610 623532 779415 890760 1039220 1247064 1558830 2078440 3117660 6235320