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12506208 = 2531113911
BaseRepresentation
bin101111101101…
…010001100000
3212112101021220
4233231101200
511200144313
61124015040
7211205151
oct57552140
925471256
1012506208
117072110
124231480
13278b530
141937928
151170823
hexbed460

12506208 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3494400.

The previous prime is 12506167. The next prime is 12506233. The reversal of 12506208 is 80260521.

12506208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (24).

It is a congruent number.

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, 13273 + ... + 14183.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 212506208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12506208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

12506208 is an abundant number, since it is smaller than the sum of its proper divisors (26104224).

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

12506208 is a wasteful number, since it uses less digits than its factorization.

12506208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12506208 is about 3536.4117407338. The cubic root of 12506208 is about 232.1178553001.

Adding to 12506208 its reverse (80260521), we get a palindrome (92766729).

The spelling of 12506208 in words is "twelve million, five hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 911 1056 1144 1248 1716 1822 2288 2733 3432 3644 4576 5466 6864 7288 10021 10932 11843 13728 14576 20042 21864 23686 29152 30063 35529 40084 43728 47372 60126 71058 80168 87456 94744 120252 130273 142116 160336 189488 240504 260546 284232 320672 378976 390819 481008 521092 568464 781638 962016 1042184 1136928 1563276 2084368 3126552 4168736 6253104 12506208