Search a number
-
+
133481280 = 2635178179
BaseRepresentation
bin1111111010011…
…00001101000000
3100022011112220010
413331030031000
5233132400110
621124544520
73210400152
oct775141500
9308145803
10133481280
116938a509
1238852140
132186720a
1413a28ad2
15baba020
hex7f4c340

133481280 has 112 divisors (see below), whose sum is σ = 448787520. Its totient is φ = 33497088.

The previous prime is 133481279. The next prime is 133481317. The reversal of 133481280 is 82184331.

It is a super-2 number, since 2×1334812802 = 35634504220876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12231 + ... + 20409.

Almost surely, 2133481280 is an apocalyptic number.

133481280 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 133481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224393760).

133481280 is an abundant number, since it is smaller than the sum of its proper divisors (315306240).

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

133481280 is a wasteful number, since it uses less digits than its factorization.

133481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 8206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 133481280 is about 11553.4098862630. The cubic root of 133481280 is about 511.0618399609.

The spelling of 133481280 in words is "one hundred thirty-three million, four hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 8179 16320 16358 24537 32716 40895 49074 65432 81790 98148 122685 130864 139043 163580 196296 245370 261728 278086 327160 392592 417129 490740 523456 556172 654320 695215 785184 834258 981480 1112344 1308640 1390430 1570368 1668516 1962960 2085645 2224688 2617280 2780860 3337032 3925920 4171290 4449376 5561720 6674064 7851840 8342580 8898752 11123440 13348128 16685160 22246880 26696256 33370320 44493760 66740640 133481280