Search a number
-
+
13156080 = 2435741191
BaseRepresentation
bin110010001011…
…111011110000
3220202101202020
4302023323300
511331443310
61145551440
7216552630
oct62137360
926671666
1013156080
1174763a3
1244a5580
132958282
141a666c0
15124d170
hexc8bef0

13156080 has 160 divisors (see below), whose sum is σ = 47996928. Its totient is φ = 2918400.

The previous prime is 13156063. The next prime is 13156097. The reversal of 13156080 is 8065131.

It is an interprime number because it is at equal distance from previous prime (13156063) and next prime (13156097).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13156080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68785 + ... + 68975.

Almost surely, 213156080 is an apocalyptic number.

13156080 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 13156080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998464).

13156080 is an abundant number, since it is smaller than the sum of its proper divisors (34840848).

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

13156080 is a wasteful number, since it uses less digits than its factorization.

13156080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 13156080 is about 3627.1310977135. The cubic root of 13156080 is about 236.0707438973.

The spelling of 13156080 in words is "thirteen million, one hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 191 205 210 240 246 280 287 328 336 382 410 420 492 560 573 574 615 656 764 820 840 861 955 984 1146 1148 1230 1337 1435 1528 1640 1680 1722 1910 1968 2292 2296 2460 2674 2865 2870 3056 3280 3444 3820 4011 4305 4584 4592 4920 5348 5730 5740 6685 6888 7640 7831 8022 8610 9168 9840 10696 11460 11480 13370 13776 15280 15662 16044 17220 20055 21392 22920 22960 23493 26740 31324 32088 34440 39155 40110 45840 46986 53480 54817 62648 64176 68880 78310 80220 93972 106960 109634 117465 125296 156620 160440 164451 187944 219268 234930 274085 313240 320880 328902 375888 438536 469860 548170 626480 657804 822255 877072 939720 1096340 1315608 1644510 1879440 2192680 2631216 3289020 4385360 6578040 13156080