Search a number
-
+
6460320 = 253543313
BaseRepresentation
bin11000101001001110100000
3110011012220010
4120221032200
53123212240
6350244520
7105624516
oct30511640
913135803
106460320
113712809
1221b6740
131452699
14c024b6
15879280
hex6293a0

6460320 has 96 divisors (see below), whose sum is σ = 20889792. Its totient is φ = 1677312.

The previous prime is 6460283. The next prime is 6460331. The reversal of 6460320 is 230646.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20484 + ... + 20796.

It is an arithmetic number, because the mean of its divisors is an integer number (217602).

Almost surely, 26460320 is an apocalyptic number.

6460320 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 6460320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444896).

6460320 is an abundant number, since it is smaller than the sum of its proper divisors (14429472).

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

6460320 is a wasteful number, since it uses less digits than its factorization.

6460320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 6460320 is about 2541.7159558062. The cubic root of 6460320 is about 186.2450233645.

Adding to 6460320 its reverse (230646), we get a palindrome (6690966).

The spelling of 6460320 in words is "six million, four hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 313 344 430 480 516 626 645 688 860 939 1032 1252 1290 1376 1565 1720 1878 2064 2504 2580 3130 3440 3756 4128 4695 5008 5160 6260 6880 7512 9390 10016 10320 12520 13459 15024 18780 20640 25040 26918 30048 37560 40377 50080 53836 67295 75120 80754 107672 134590 150240 161508 201885 215344 269180 323016 403770 430688 538360 646032 807540 1076720 1292064 1615080 2153440 3230160 6460320