Search a number
-
+
1213020288 = 273210310223
BaseRepresentation
bin100100001001101…
…0011100010000000
310010112111211000100
41020103103202000
54441013122123
6320211122400
742026334204
oct11023234200
93115454010
101213020288
1157279a107
1229a2a3400
131644029ac
14b715cb04
157175d643
hex484d3880

1213020288 has 96 divisors (see below), whose sum is σ = 3524826240. Its totient is φ = 400375296.

The previous prime is 1213020283. The next prime is 1213020317. The reversal of 1213020288 is 8820203121.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1213020283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113545 + ... + 123767.

It is an arithmetic number, because the mean of its divisors is an integer number (36716940).

Almost surely, 21213020288 is an apocalyptic number.

1213020288 is a gapful number since it is divisible by the number (18) 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 1213020288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762413120).

1213020288 is an abundant number, since it is smaller than the sum of its proper divisors (2311805952).

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

1213020288 is a wasteful number, since it uses less digits than its factorization.

1213020288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1213020288 is about 34828.4407919734. The cubic root of 1213020288 is about 1066.4881187259.

The spelling of 1213020288 in words is "one billion, two hundred thirteen million, twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 288 309 384 412 576 618 824 927 1152 1236 1648 1854 2472 3296 3708 4944 6592 7416 9888 10223 13184 14832 19776 20446 29664 30669 39552 40892 59328 61338 81784 92007 118656 122676 163568 184014 245352 327136 368028 490704 654272 736056 981408 1052969 1308544 1472112 1962816 2105938 2944224 3158907 3925632 4211876 5888448 6317814 8423752 9476721 11776896 12635628 16847504 18953442 25271256 33695008 37906884 50542512 67390016 75813768 101085024 134780032 151627536 202170048 303255072 404340096 606510144 1213020288