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12506340 = 22357112707
BaseRepresentation
bin101111101101…
…010011100100
3212112101110210
4233231103210
511200200330
61124015420
7211205430
oct57552344
925471423
1012506340
117072220
124231570
13278b602
1419379c0
1511708b0
hexbed4e4

12506340 has 96 divisors (see below), whose sum is σ = 43674624. Its totient is φ = 2597760.

The previous prime is 12506323. The next prime is 12506341. The reversal of 12506340 is 4360521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12506341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3267 + ... + 5973.

It is an arithmetic number, because the mean of its divisors is an integer number (454944).

Almost surely, 212506340 is an apocalyptic number.

12506340 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 12506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21837312).

12506340 is an abundant number, since it is smaller than the sum of its proper divisors (31168284).

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

12506340 is a wasteful number, since it uses less digits than its factorization.

12506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12506340 is about 3536.4304036698. The cubic root of 12506340 is about 232.1186719465.

Adding to 12506340 its reverse (4360521), we get a palindrome (16866861).

The spelling of 12506340 in words is "twelve million, five hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2707 4620 5414 8121 10828 13535 16242 18949 27070 29777 32484 37898 40605 54140 56847 59554 75796 81210 89331 94745 113694 119108 148885 162420 178662 189490 208439 227388 284235 297770 357324 378980 416878 446655 568470 595540 625317 833756 893310 1042195 1136940 1250634 1786620 2084390 2501268 3126585 4168780 6253170 12506340