Search a number
-
+
13176900 = 223252114
BaseRepresentation
bin110010010001…
…000001000100
3220210110022100
4302101001010
511333130100
61150232100
7220000422
oct62210104
926713270
1013176900
117490000
1244b5630
1329648a9
141a70112
151254400
hexc91044

13176900 has 135 divisors (see below), whose sum is σ = 45432205. Its totient is φ = 3194400.

The previous prime is 13176881. The next prime is 13176929. The reversal of 13176900 is 967131.

The square root of 13176900 is 3630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4743684 + 8433216 = 2178^2 + 2904^2 .

It is a super-2 number, since 2×131769002 = 347261387220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1197895 + ... + 1197905.

Almost surely, 213176900 is an apocalyptic number.

13176900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13176900 is the 3630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13176900

13176900 is an abundant number, since it is smaller than the sum of its proper divisors (32255305).

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

13176900 is a wasteful number, since it uses less digits than its factorization.

13176900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The cubic root of 13176900 is about 236.1952085921.

The spelling of 13176900 in words is "thirteen million, one hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 121 132 150 165 180 198 220 225 242 275 300 330 363 396 450 484 495 550 605 660 726 825 900 990 1089 1100 1210 1331 1452 1650 1815 1980 2178 2420 2475 2662 3025 3300 3630 3993 4356 4950 5324 5445 6050 6655 7260 7986 9075 9900 10890 11979 12100 13310 14641 15972 18150 19965 21780 23958 26620 27225 29282 33275 36300 39930 43923 47916 54450 58564 59895 66550 73205 79860 87846 99825 108900 119790 131769 133100 146410 175692 199650 219615 239580 263538 292820 299475 366025 399300 439230 527076 598950 658845 732050 878460 1098075 1197900 1317690 1464100 2196150 2635380 3294225 4392300 6588450 13176900