Search a number
-
+
12796080 = 24351137131
BaseRepresentation
bin110000110100…
…000010110000
3220002002220220
4300310002300
511233433310
61134133040
7213523233
oct60640260
926062826
1012796080
11724a980
124351180
13286045b
1419b141a
1511cb670
hexc340b0

12796080 has 160 divisors (see below), whose sum is σ = 44782848. Its totient is φ = 2995200.

The previous prime is 12796039. The next prime is 12796081. The reversal of 12796080 is 8069721.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12796081) 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, 97615 + ... + 97745.

Almost surely, 212796080 is an apocalyptic number.

12796080 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 12796080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

12796080 is an abundant number, since it is smaller than the sum of its proper divisors (31986768).

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

12796080 is a wasteful number, since it uses less digits than its factorization.

12796080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 12796080 is about 3577.1608853950. The cubic root of 12796080 is about 233.8975371407.

The spelling of 12796080 in words is "twelve million, seven hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 131 132 148 165 176 185 220 222 240 262 264 296 330 370 393 407 440 444 524 528 555 592 655 660 740 786 814 880 888 1048 1110 1221 1310 1320 1441 1480 1572 1628 1776 1965 2035 2096 2220 2442 2620 2640 2882 2960 3144 3256 3930 4070 4323 4440 4847 4884 5240 5764 6105 6288 6512 7205 7860 8140 8646 8880 9694 9768 10480 11528 12210 14410 14541 15720 16280 17292 19388 19536 21615 23056 24235 24420 28820 29082 31440 32560 34584 38776 43230 48470 48840 53317 57640 58164 69168 72705 77552 86460 96940 97680 106634 115280 116328 145410 159951 172920 193880 213268 232656 266585 290820 319902 345840 387760 426536 533170 581640 639804 799755 853072 1066340 1163280 1279608 1599510 2132680 2559216 3199020 4265360 6398040 12796080