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12070240 = 255713829
BaseRepresentation
bin101110000010…
…110101100000
3211201020020221
4232002311200
511042221430
61110412424
7204411130
oct56026540
924636227
1012070240
1168a4606
124061114
132667c70
141862ac0
1510d657a
hexb82d60

12070240 has 96 divisors (see below), whose sum is σ = 35138880. Its totient is φ = 3815424.

The previous prime is 12070231. The next prime is 12070241. The reversal of 12070240 is 4207021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12070241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14146 + ... + 14974.

It is an arithmetic number, because the mean of its divisors is an integer number (366030).

Almost surely, 212070240 is an apocalyptic number.

12070240 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 12070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569440).

12070240 is an abundant number, since it is smaller than the sum of its proper divisors (23068640).

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

12070240 is a wasteful number, since it uses less digits than its factorization.

12070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12070240 is about 3474.2250934561. The cubic root of 12070240 is about 229.3886727218.

Adding to 12070240 its reverse (4207021), we get a palindrome (16277261).

The spelling of 12070240 in words is "twelve million, seventy thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 829 910 1040 1120 1456 1658 1820 2080 2912 3316 3640 4145 5803 6632 7280 8290 10777 11606 13264 14560 16580 21554 23212 26528 29015 33160 43108 46424 53885 58030 66320 75439 86216 92848 107770 116060 132640 150878 172432 185696 215540 232120 301756 344864 377195 431080 464240 603512 754390 862160 928480 1207024 1508780 1724320 2414048 3017560 6035120 12070240