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13134080 = 28531331
BaseRepresentation
bin110010000110…
…100100000000
3220201021120102
4302012210000
511330242310
61145301532
7216431531
oct62064400
926637512
1013134080
117460913
1244948a8
13294b25b
141a5c688
1512468a5
hexc86900

13134080 has 72 divisors (see below), whose sum is σ = 32573184. Its totient is φ = 5068800.

The previous prime is 13134067. The next prime is 13134083. The reversal of 13134080 is 8043131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13134083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39515 + ... + 39845.

Almost surely, 213134080 is an apocalyptic number.

13134080 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 13134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286592).

13134080 is an abundant number, since it is smaller than the sum of its proper divisors (19439104).

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

13134080 is an equidigital number, since it uses as much as digits as its factorization.

13134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 13134080 is about 3624.0971289412. The cubic root of 13134080 is about 235.9390822372.

The spelling of 13134080 in words is "thirteen million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 331 496 620 640 662 992 1240 1280 1324 1655 1984 2480 2648 3310 3968 4960 5296 6620 7936 9920 10261 10592 13240 19840 20522 21184 26480 39680 41044 42368 51305 52960 82088 84736 102610 105920 164176 205220 211840 328352 410440 423680 656704 820880 1313408 1641760 2626816 3283520 6567040 13134080