Search a number
-
+
12426240 = 21035809
BaseRepresentation
bin101111011001…
…110000000000
3212101022121010
4233121300000
511140114430
61122200520
7210423051
oct57316000
925338533
1012426240
117018022
1241b3140
132761008
141916728
151156cb0
hexbd9c00

12426240 has 88 divisors (see below), whose sum is σ = 39793680. Its totient is φ = 3309568.

The previous prime is 12426223. The next prime is 12426241. The reversal of 12426240 is 4262421.

It is a super-2 number, since 2×124262402 = 308822881075200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12426241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14956 + ... + 15764.

Almost surely, 212426240 is an apocalyptic number.

12426240 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 12426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19896840).

12426240 is an abundant number, since it is smaller than the sum of its proper divisors (27367440).

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

12426240 is an equidigital number, since it uses as much as digits as its factorization.

12426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12426240 is about 3525.0872329632. The cubic root of 12426240 is about 231.6220560606.

Adding to 12426240 its reverse (4262421), we get a palindrome (16688661).

The spelling of 12426240 in words is "twelve million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 809 960 1024 1280 1536 1618 1920 2427 2560 3072 3236 3840 4045 4854 5120 6472 7680 8090 9708 12135 12944 15360 16180 19416 24270 25888 32360 38832 48540 51776 64720 77664 97080 103552 129440 155328 194160 207104 258880 310656 388320 414208 517760 621312 776640 828416 1035520 1242624 1553280 2071040 2485248 3106560 4142080 6213120 12426240