Search a number
-
+
2151289480 = 2351711327997
BaseRepresentation
bin1000000000111010…
…0001001010001000
312112221000211101011
42000032201022020
513401212230410
6553245333304
7104211441664
oct20016411210
95487024334
102151289480
11a0438a69a
12500567234
13283908172
141659db8a4
15c8ce918a
hex803a1288

2151289480 has 64 divisors (see below), whose sum is σ = 5170670640. Its totient is φ = 802701312.

The previous prime is 2151289477. The next prime is 2151289489. The reversal of 2151289480 is 849821512.

It can be written as a sum of positive squares in 8 ways, for example, as 1113289956 + 1037999524 = 33366^2 + 32218^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2151289489) 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, 62842 + ... + 90838.

Almost surely, 22151289480 is an apocalyptic number.

2151289480 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 2151289480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585335320).

2151289480 is an abundant number, since it is smaller than the sum of its proper divisors (3019381160).

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

2151289480 is a wasteful number, since it uses less digits than its factorization.

2151289480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28138 (or 28134 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 2151289480 is about 46381.9952136602. The cubic root of 2151289480 is about 1290.9208576290.

The spelling of 2151289480 in words is "two billion, one hundred fifty-one million, two hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 565 680 904 1130 1921 2260 3842 4520 7684 9605 15368 19210 27997 38420 55994 76840 111988 139985 223976 279970 475949 559940 951898 1119880 1903796 2379745 3163661 3807592 4759490 6327322 9518980 12654644 15818305 19037960 25309288 31636610 53782237 63273220 107564474 126546440 215128948 268911185 430257896 537822370 1075644740 2151289480