Search a number
-
+
6790350 = 2352729223
BaseRepresentation
bin11001111001110011001110
3110202222121110
4121321303032
53214242400
6401312450
7111500640
oct31716316
913688543
106790350
113918766
122335726
131539978
14c8a890
158e1e50
hex679cce

6790350 has 96 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1491840.

The previous prime is 6790349. The next prime is 6790363. The reversal of 6790350 is 530976.

It is a super-2 number, since 2×67903502 = 92217706245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30339 + ... + 30561.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 26790350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6790350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

6790350 is an abundant number, since it is smaller than the sum of its proper divisors (13208370).

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

6790350 is a wasteful number, since it uses less digits than its factorization.

6790350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 6790350 is about 2605.8300021298. The cubic root of 6790350 is about 189.3639860056.

It can be divided in two parts, 6790 and 350, that added together give a triangular number (7140 = T119).

The spelling of 6790350 in words is "six million, seven hundred ninety thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 75 87 105 145 150 174 175 203 210 223 290 350 406 435 446 525 609 669 725 870 1015 1050 1115 1218 1338 1450 1561 2030 2175 2230 3045 3122 3345 4350 4683 5075 5575 6090 6467 6690 7805 9366 10150 11150 12934 15225 15610 16725 19401 23415 30450 32335 33450 38802 39025 45269 46830 64670 78050 90538 97005 117075 135807 161675 194010 226345 234150 271614 323350 452690 485025 679035 970050 1131725 1358070 2263450 3395175 6790350