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135264304 = 2472374663
BaseRepresentation
bin10000000111111…
…11100000110000
3100102112010202001
420003333200300
5234111424204
621231103344
73231504400
oct1003774060
9312463661
10135264304
116a39808a
1239371b54
132203c966
1413d70800
15bd1d4a4
hex80ff830

135264304 has 60 divisors (see below), whose sum is σ = 313168944. Its totient is φ = 56391552.

The previous prime is 135264263. The next prime is 135264317. The reversal of 135264304 is 403462531.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26677 + ... + 31339.

Almost surely, 2135264304 is an apocalyptic number.

135264304 is a gapful number since it is divisible by the number (14) 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 135264304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156584472).

135264304 is an abundant number, since it is smaller than the sum of its proper divisors (177904640).

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

135264304 is a wasteful number, since it uses less digits than its factorization.

135264304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 135264304 is about 11630.3183103473. The cubic root of 135264304 is about 513.3273461193.

It can be divided in two parts, 1352 and 64304, that added together give a palindrome (65656).

The spelling of 135264304 in words is "one hundred thirty-five million, two hundred sixty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1813 2072 3626 4144 4663 7252 9326 14504 18652 29008 32641 37304 65282 74608 130564 172531 228487 261128 345062 456974 522256 690124 913948 1207717 1380248 1827896 2415434 2760496 3655792 4830868 8454019 9661736 16908038 19323472 33816076 67632152 135264304