Search a number
-
+
12000240 = 2432572381
BaseRepresentation
bin101101110001…
…101111110000
3211120200020100
4231301233300
511033001430
61105112400
7204000060
oct55615760
924520210
1012000240
116856a5a
124028700
132642145
1418453a0
1510c0960
hexb71bf0

12000240 has 120 divisors (see below), whose sum is σ = 46077408. Its totient is φ = 2741760.

The previous prime is 12000239. The next prime is 12000253. The reversal of 12000240 is 4200021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850 + ... + 6230.

Almost surely, 212000240 is an apocalyptic number.

12000240 is a gapful number since it is divisible by the number (10) 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 12000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038704).

12000240 is an abundant number, since it is smaller than the sum of its proper divisors (34077168).

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

12000240 is a wasteful number, since it uses less digits than its factorization.

12000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12000240 is about 3464.1362559807. The cubic root of 12000240 is about 228.9443747861.

Adding to 12000240 its reverse (4200021), we get a palindrome (16200261).

The spelling of 12000240 in words is "twelve million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2381 2520 4762 5040 7143 9524 11905 14286 16667 19048 21429 23810 28572 33334 35715 38096 42858 47620 50001 57144 66668 71430 83335 85716 95240 100002 107145 114288 133336 142860 150003 166670 171432 190480 200004 214290 250005 266672 285720 300006 333340 342864 400008 428580 500010 571440 600012 666680 750015 800016 857160 1000020 1200024 1333360 1500030 1714320 2000040 2400048 3000060 4000080 6000120 12000240