Search a number
-
+
135496480 = 2557311389
BaseRepresentation
bin10000001001110…
…00001100100000
3100102221221020011
420010320030200
5234141341410
621240054304
73233462320
oct1004701440
9312857204
10135496480
116a536569
1239464394
13220c1542
1413dd1280
15bd6718a
hex8138320

135496480 has 96 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 46187520.

The previous prime is 135496463. The next prime is 135496499. The reversal of 135496480 is 84694531.

135496480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348126 + ... + 348514.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2135496480 is an apocalyptic number.

135496480 is a gapful number since it is divisible by the number (10) 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 135496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

135496480 is an abundant number, since it is smaller than the sum of its proper divisors (232463840).

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

135496480 is a wasteful number, since it uses less digits than its factorization.

135496480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 135496480 is about 11640.2955288944. The cubic root of 135496480 is about 513.6208804831.

The spelling of 135496480 in words is "one hundred thirty-five million, four hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 311 389 560 622 778 1120 1244 1555 1556 1945 2177 2488 2723 3110 3112 3890 4354 4976 5446 6220 6224 7780 8708 9952 10885 10892 12440 12448 13615 15560 17416 21770 21784 24880 27230 31120 34832 43540 43568 49760 54460 62240 69664 87080 87136 108920 120979 174160 217840 241958 348320 435680 483916 604895 846853 967832 1209790 1693706 1935664 2419580 3387412 3871328 4234265 4839160 6774824 8468530 9678320 13549648 16937060 19356640 27099296 33874120 67748240 135496480