Search a number
-
+
3240120 = 2335133167
BaseRepresentation
bin1100010111000010111000
320002121121110
430113002320
51312140440
6153240320
736353262
oct14270270
96077543
103240120
111913394
1211030a0
13895a40
14604b32
15440080
hex3170b8

3240120 has 128 divisors (see below), whose sum is σ = 10967040. Its totient is φ = 760320.

The previous prime is 3240119. The next prime is 3240131. The reversal of 3240120 is 210423.

It is a super-2 number, since 2×32401202 = 20996755228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3240096 and 3240105.

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, 48327 + ... + 48393.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

Almost surely, 23240120 is an apocalyptic number.

3240120 is a gapful number since it is divisible by the number (30) 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 3240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520).

3240120 is an abundant number, since it is smaller than the sum of its proper divisors (7726920).

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

3240120 is a wasteful number, since it uses less digits than its factorization.

3240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3240120 is about 1800.0333330247. The cubic root of 3240120 is about 147.9745512610.

Adding to 3240120 its reverse (210423), we get a palindrome (3450543).

The spelling of 3240120 in words is "three million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 67 78 93 104 120 124 130 134 155 156 186 195 201 248 260 268 310 312 335 372 390 402 403 465 520 536 620 670 744 780 804 806 871 930 1005 1209 1240 1340 1560 1608 1612 1742 1860 2010 2015 2077 2418 2613 2680 3224 3484 3720 4020 4030 4154 4355 4836 5226 6045 6231 6968 8040 8060 8308 8710 9672 10385 10452 12090 12462 13065 16120 16616 17420 20770 20904 24180 24924 26130 27001 31155 34840 41540 48360 49848 52260 54002 62310 81003 83080 104520 108004 124620 135005 162006 216008 249240 270010 324012 405015 540020 648024 810030 1080040 1620060 3240120