Search a number
-
+
2132488260 = 2232571918861
BaseRepresentation
bin111111100011011…
…0011000001000100
312111121122121221200
41333012303001010
513331404111020
6551334342500
7103562564640
oct17706630104
95447577850
102132488260
119a4808aa1
124b61baa30
1327ca54596
14163305c20
15c7333590
hex7f1b3044

2132488260 has 144 divisors (see below), whose sum is σ = 7432169472. Its totient is φ = 484819200.

The previous prime is 2132488249. The next prime is 2132488307. The reversal of 2132488260 is 628842312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236230 + ... + 245090.

It is an arithmetic number, because the mean of its divisors is an integer number (51612288).

Almost surely, 22132488260 is an apocalyptic number.

2132488260 is a gapful number since it is divisible by the number (20) 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 2132488260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716084736).

2132488260 is an abundant number, since it is smaller than the sum of its proper divisors (5299681212).

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

2132488260 is a wasteful number, since it uses less digits than its factorization.

2132488260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2132488260 is about 46178.8724418429. The cubic root of 2132488260 is about 1287.1491759135.

The spelling of 2132488260 in words is "two billion, one hundred thirty-two million, four hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 191 210 252 315 382 420 573 630 764 955 1146 1260 1337 1719 1910 2292 2674 2865 3438 3820 4011 5348 5730 6685 6876 8022 8595 8861 11460 12033 13370 16044 17190 17722 20055 24066 26583 26740 34380 35444 40110 44305 48132 53166 60165 62027 79749 80220 88610 106332 120330 124054 132915 159498 177220 186081 240660 248108 265830 310135 318996 372162 398745 531660 558243 620270 744324 797490 930405 1116486 1240540 1594980 1692451 1860810 2232972 2791215 3384902 3721620 5077353 5582430 6769804 8462255 10154706 11164860 11847157 15232059 16924510 20309412 23694314 25386765 30464118 33849020 35541471 47388628 50773530 59235785 60928236 71082942 76160295 101547060 106624413 118471570 142165884 152320590 177707355 213248826 236943140 304641180 355414710 426497652 533122065 710829420 1066244130 2132488260