Search a number
-
+
13128780 = 2235731259
BaseRepresentation
bin110010000101…
…010001001100
3220201000022010
4302011101030
511330110110
61145221220
7216410220
oct62052114
926630263
1013128780
117457935
124491810
132948a12
141a5a780
151245020
hexc8544c

13128780 has 48 divisors (see below), whose sum is σ = 42013440. Its totient is φ = 3000768.

The previous prime is 13128769. The next prime is 13128781. The reversal of 13128780 is 8782131.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13128781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15210 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (875280).

Almost surely, 213128780 is an apocalyptic number.

13128780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13128780 is an abundant number, since it is smaller than the sum of its proper divisors (28884660).

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

13128780 is a wasteful number, since it uses less digits than its factorization.

13128780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31278 (or 31276 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 13128780 is about 3623.3658385540. The cubic root of 13128780 is about 235.9073417734.

The spelling of 13128780 in words is "thirteen million, one hundred twenty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 31259 62518 93777 125036 156295 187554 218813 312590 375108 437626 468885 625180 656439 875252 937770 1094065 1312878 1875540 2188130 2625756 3282195 4376260 6564390 13128780