Search a number
-
+
13155480 = 2333513937
BaseRepresentation
bin110010001011…
…110010011000
3220202100221000
4302023302120
511331433410
61145545000
7216551112
oct62136230
926670830
1013155480
1174759a8
1244a5160
132957c10
141a663b2
15124cdc0
hexc8bc98

13155480 has 128 divisors (see below), whose sum is σ = 47275200. Its totient is φ = 3234816.

The previous prime is 13155449. The next prime is 13155487. The reversal of 13155480 is 8455131.

13155480 is a `hidden beast` number, since 1 + 31 + 554 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13572 + ... + 14508.

Almost surely, 213155480 is an apocalyptic number.

13155480 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 13155480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637600).

13155480 is an abundant number, since it is smaller than the sum of its proper divisors (34119720).

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

13155480 is a wasteful number, since it uses less digits than its factorization.

13155480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13155480 is about 3627.0483867740. The cubic root of 13155480 is about 236.0671550725.

It can be divided in two parts, 131 and 55480, that added together give a triangular number (55611 = T333).

The spelling of 13155480 in words is "thirteen million, one hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 937 1080 1170 1404 1560 1755 1874 2340 2808 2811 3510 3748 4680 4685 5622 7020 7496 8433 9370 11244 12181 14040 14055 16866 18740 22488 24362 25299 28110 33732 36543 37480 42165 48724 50598 56220 60905 67464 73086 84330 97448 101196 109629 112440 121810 126495 146172 168660 182715 202392 219258 243620 252990 292344 328887 337320 365430 438516 487240 505980 548145 657774 730860 877032 1011960 1096290 1315548 1461720 1644435 2192580 2631096 3288870 4385160 6577740 13155480