Search a number
-
+
135070800 = 24352112559
BaseRepresentation
bin10000000110100…
…00010001010000
3100102011022022020
420003100101100
5234034231200
621223011440
73230040264
oct1003202120
9312138266
10135070800
116a275767
1239299b80
1321ca2867
1413d200a4
15bcd0ea0
hex80d0450

135070800 has 60 divisors (see below), whose sum is σ = 432680640. Its totient is φ = 36018560.

The previous prime is 135070781. The next prime is 135070811. The reversal of 135070800 is 8070531.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55080 + ... + 57479.

It is an arithmetic number, because the mean of its divisors is an integer number (7211344).

Almost surely, 2135070800 is an apocalyptic number.

135070800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135070800 is an abundant number, since it is smaller than the sum of its proper divisors (297609840).

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

135070800 is a wasteful number, since it uses less digits than its factorization.

135070800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112580 (or 112569 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135070800 is about 11621.9963861636. The cubic root of 135070800 is about 513.0824470689.

The spelling of 135070800 in words is "one hundred thirty-five million, seventy thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 112559 225118 337677 450236 562795 675354 900472 1125590 1350708 1688385 1800944 2251180 2701416 2813975 3376770 4502360 5402832 5627950 6753540 8441925 9004720 11255900 13507080 16883850 22511800 27014160 33767700 45023600 67535400 135070800