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13134960 = 243452027
BaseRepresentation
bin110010000110…
…110001110000
3220201022210000
4302012301300
511330304320
61145310000
7216434226
oct62066160
926638700
1013134960
117461543
124495300
13294b787
141a5cb16
151246c90
hexc86c70

13134960 has 100 divisors (see below), whose sum is σ = 45642168. Its totient is φ = 3500928.

The previous prime is 13134959. The next prime is 13134967. The reversal of 13134960 is 6943131.

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 (13134967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5467 + ... + 7493.

Almost surely, 213134960 is an apocalyptic number.

13134960 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 13134960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22821084).

13134960 is an abundant number, since it is smaller than the sum of its proper divisors (32507208).

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

13134960 is a wasteful number, since it uses less digits than its factorization.

13134960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13134960 is about 3624.2185364572. The cubic root of 13134960 is about 235.9443515254.

The spelling of 13134960 in words is "thirteen million, one hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2027 2160 3240 4054 6081 6480 8108 10135 12162 16216 18243 20270 24324 30405 32432 36486 40540 48648 54729 60810 72972 81080 91215 97296 109458 121620 145944 162160 164187 182430 218916 243240 273645 291888 328374 364860 437832 486480 547290 656748 729720 820935 875664 1094580 1313496 1459440 1641870 2189160 2626992 3283740 4378320 6567480 13134960