Search a number
-
+
135267360 = 2535281807
BaseRepresentation
bin10000001000000…
…00010000100000
3100102112021221020
420010000100200
5234112023420
621231125440
73231516324
oct1004002040
9312467836
10135267360
116a39a408
1239373880
1322041177
1413d71984
15bd1e340
hex8100420

135267360 has 48 divisors (see below), whose sum is σ = 426093696. Its totient is φ = 36071168.

The previous prime is 135267329. The next prime is 135267371. The reversal of 135267360 is 63762531.

135267360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140424 + ... + 141383.

It is an arithmetic number, because the mean of its divisors is an integer number (8876952).

Almost surely, 2135267360 is an apocalyptic number.

135267360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135267360 is an abundant number, since it is smaller than the sum of its proper divisors (290826336).

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

135267360 is a wasteful number, since it uses less digits than its factorization.

135267360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281825 (or 281817 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 135267360 is about 11630.4496903602. The cubic root of 135267360 is about 513.3312119250.

The spelling of 135267360 in words is "one hundred thirty-five million, two hundred sixty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 281807 563614 845421 1127228 1409035 1690842 2254456 2818070 3381684 4227105 4508912 5636140 6763368 8454210 9017824 11272280 13526736 16908420 22544560 27053472 33816840 45089120 67633680 135267360