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12738208 = 257194173
BaseRepresentation
bin110000100101…
…111010100000
3212222011112111
4300211322200
511230110313
61133005104
7213162430
oct60457240
925864474
1012738208
11721044a
124323794
132840002
1419982c0
1511b943d
hexc25ea0

12738208 has 96 divisors (see below), whose sum is σ = 31328640. Its totient is φ = 4976640.

The previous prime is 12738169. The next prime is 12738211. The reversal of 12738208 is 80283721.

It is a self number, because there is not a number n which added to its sum of digits gives 12738208.

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, 174460 + ... + 174532.

It is an arithmetic number, because the mean of its divisors is an integer number (326340).

Almost surely, 212738208 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 12738208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664320).

12738208 is an abundant number, since it is smaller than the sum of its proper divisors (18590432).

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

12738208 is a wasteful number, since it uses less digits than its factorization.

12738208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 12738208 is about 3569.0626220340. The cubic root of 12738208 is about 233.5443931569.

The spelling of 12738208 in words is "twelve million, seven hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 73 76 82 112 133 146 152 164 224 266 287 292 304 328 511 532 574 584 608 656 779 1022 1064 1148 1168 1312 1387 1558 2044 2128 2296 2336 2774 2993 3116 4088 4256 4592 5453 5548 5986 6232 8176 9184 9709 10906 11096 11972 12464 16352 19418 20951 21812 22192 23944 24928 38836 41902 43624 44384 47888 56867 77672 83804 87248 95776 113734 155344 167608 174496 227468 310688 335216 398069 454936 670432 796138 909872 1592276 1819744 3184552 6369104 12738208