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12750672 = 24311193141
BaseRepresentation
bin110000101000…
…111101010000
3212222210122010
4300220331100
511231010142
61133142520
7213243654
oct60507520
925883563
1012750672
117219850
12432aa40
13284589c
14199ca64
1511bce9c
hexc28f50

12750672 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3456000.

The previous prime is 12750659. The next prime is 12750701. The reversal of 12750672 is 27605721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310972 + ... + 311012.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 212750672 is an apocalyptic number.

12750672 is a gapful number since it is divisible by the number (12) 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 12750672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12750672 is an abundant number, since it is smaller than the sum of its proper divisors (27246768).

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

12750672 is a wasteful number, since it uses less digits than its factorization.

12750672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 12750672 is about 3570.8083118532. The cubic root of 12750672 is about 233.6205406658.

The spelling of 12750672 in words is "twelve million, seven hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 31 33 38 41 44 48 57 62 66 76 82 88 93 114 123 124 132 152 164 176 186 209 228 246 248 264 304 328 341 372 418 451 456 492 496 528 589 627 656 682 744 779 836 902 912 984 1023 1178 1254 1271 1353 1364 1488 1558 1672 1767 1804 1968 2046 2337 2356 2508 2542 2706 2728 3116 3344 3534 3608 3813 4092 4674 4712 5016 5084 5412 5456 6232 6479 7068 7216 7626 8184 8569 9348 9424 10032 10168 10824 12464 12958 13981 14136 15252 16368 17138 18696 19437 20336 21648 24149 25707 25916 27962 28272 30504 34276 37392 38874 41943 48298 51414 51832 55924 61008 68552 72447 77748 83886 96596 102828 103664 111848 137104 144894 155496 167772 193192 205656 223696 265639 289788 310992 335544 386384 411312 531278 579576 671088 796917 1062556 1159152 1593834 2125112 3187668 4250224 6375336 12750672