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12030240 = 253571353
BaseRepresentation
bin101101111001…
…000100100000
3211122012101110
4231321010200
511034431430
61105503320
7204153405
oct55710440
924565343
1012030240
116877552
124041b40
1326529b1
1418522ac
1510c97b0
hexb79120

12030240 has 96 divisors (see below), whose sum is σ = 38537856. Its totient is φ = 3153920.

The previous prime is 12030233. The next prime is 12030253. The reversal of 12030240 is 4203021.

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

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

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, 33904 + ... + 34256.

It is an arithmetic number, because the mean of its divisors is an integer number (401436).

Almost surely, 212030240 is an apocalyptic number.

12030240 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 12030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268928).

12030240 is an abundant number, since it is smaller than the sum of its proper divisors (26507616).

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

12030240 is a wasteful number, since it uses less digits than its factorization.

12030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

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

The square root of 12030240 is about 3468.4636368283. The cubic root of 12030240 is about 229.1349991871.

Adding to 12030240 its reverse (4203021), we get a palindrome (16233261).

The spelling of 12030240 in words is "twelve million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 353 355 426 480 568 706 710 852 1059 1065 1136 1412 1420 1704 1765 2118 2130 2272 2824 2840 3408 3530 4236 4260 5295 5648 5680 6816 7060 8472 8520 10590 11296 11360 14120 16944 17040 21180 25063 28240 33888 34080 42360 50126 56480 75189 84720 100252 125315 150378 169440 200504 250630 300756 375945 401008 501260 601512 751890 802016 1002520 1203024 1503780 2005040 2406048 3007560 4010080 6015120 12030240