Search a number
-
+
12917700 = 22325231463
BaseRepresentation
bin110001010001…
…101111000100
3220022021202100
4301101233010
511301331300
61140512100
7214540635
oct61215704
926267670
1012917700
117323294
1243ab630
1328a3913
141a0388c
151202700
hexc51bc4

12917700 has 108 divisors (see below), whose sum is σ = 41886208. Its totient is φ = 3326400.

The previous prime is 12917693. The next prime is 12917717. The reversal of 12917700 is 771921.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27669 + ... + 28131.

Almost surely, 212917700 is an apocalyptic number.

12917700 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 12917700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943104).

12917700 is an abundant number, since it is smaller than the sum of its proper divisors (28968508).

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

12917700 is a wasteful number, since it uses less digits than its factorization.

12917700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 12917700 is about 3594.1201983239. The cubic root of 12917700 is about 234.6362260718.

The spelling of 12917700 in words is "twelve million, nine hundred seventeen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 31 36 45 50 60 62 75 90 93 100 124 150 155 180 186 225 279 300 310 372 450 463 465 558 620 775 900 926 930 1116 1389 1395 1550 1852 1860 2315 2325 2778 2790 3100 4167 4630 4650 5556 5580 6945 6975 8334 9260 9300 11575 13890 13950 14353 16668 20835 23150 27780 27900 28706 34725 41670 43059 46300 57412 69450 71765 83340 86118 104175 129177 138900 143530 172236 208350 215295 258354 287060 358825 416700 430590 516708 645885 717650 861180 1076475 1291770 1435300 2152950 2583540 3229425 4305900 6458850 12917700