Search a number
-
+
135428080 = 2454094139
BaseRepresentation
bin10000001001001…
…11011111110000
3100102211110101211
420010213133300
5234132144310
621234405504
73233056024
oct1004473760
9312743354
10135428080
116a49a137
1239430894
1322099378
1413db4384
15bd51c8a
hex81277f0

135428080 has 40 divisors (see below), whose sum is σ = 315716400. Its totient is φ = 54025728.

The previous prime is 135428063. The next prime is 135428087. The reversal of 135428080 is 80824531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135428087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30651 + ... + 34789.

It is an arithmetic number, because the mean of its divisors is an integer number (7892910).

Almost surely, 2135428080 is an apocalyptic number.

135428080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135428080 is an abundant number, since it is smaller than the sum of its proper divisors (180288320).

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

135428080 is a wasteful number, since it uses less digits than its factorization.

135428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 135428080 is about 11637.3570882740. The cubic root of 135428080 is about 513.5344389227.

The spelling of 135428080 in words is "one hundred thirty-five million, four hundred twenty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 818 1636 2045 3272 4090 4139 6544 8180 8278 16360 16556 20695 32720 33112 41390 66224 82780 165560 331120 1692851 3385702 6771404 8464255 13542808 16928510 27085616 33857020 67714040 135428080