[go: up one dir, main page]

Search a number
-
+
135032160 = 2535281317
BaseRepresentation
bin10000000110001…
…10110101100000
3100102002100022010
420003012311200
5234032012120
621222112520
73226516524
oct1003066540
9312070263
10135032160
116a24972a
123927b740
1321c8b0b3
1413d0dd84
15bcc47e0
hex80c6d60

135032160 has 48 divisors (see below), whose sum is σ = 425352816. Its totient is φ = 36008448.

The previous prime is 135032153. The next prime is 135032167. The reversal of 135032160 is 61230531.

It is an interprime number because it is at equal distance from previous prime (135032153) and next prime (135032167).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135032167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140179 + ... + 141138.

It is an arithmetic number, because the mean of its divisors is an integer number (8861517).

Almost surely, 2135032160 is an apocalyptic number.

135032160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135032160 is an abundant number, since it is smaller than the sum of its proper divisors (290320656).

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

135032160 is a wasteful number, since it uses less digits than its factorization.

135032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281335 (or 281327 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 135032160 is about 11620.3339022594. Note that the first 3 decimals coincide. The cubic root of 135032160 is about 513.0335161957.

Adding to 135032160 its reverse (61230531), we get a palindrome (196262691).

The spelling of 135032160 in words is "one hundred thirty-five million, thirty-two thousand, one 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 281317 562634 843951 1125268 1406585 1687902 2250536 2813170 3375804 4219755 4501072 5626340 6751608 8439510 9002144 11252680 13503216 16879020 22505360 27006432 33758040 45010720 67516080 135032160