Search a number
-
+
1528180134 = 2313211313337
BaseRepresentation
bin101101100010110…
…0010110110100110
310221111112121001020
41123011202312212
511112203231014
6411350112010
752604213445
oct13305426646
93844477036
101528180134
11714688398
1236794b606
131b47aab00
14106d5ad5c
158e2641a9
hex5b162da6

1528180134 has 48 divisors (see below), whose sum is σ = 3339088272. Its totient is φ = 466013184.

The previous prime is 1528180097. The next prime is 1528180151. The reversal of 1528180134 is 4310818251.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1528180095 and 1528180104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107914 + ... + 121250.

It is an arithmetic number, because the mean of its divisors is an integer number (69564339).

Almost surely, 21528180134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1528180134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669544136).

1528180134 is an abundant number, since it is smaller than the sum of its proper divisors (1810908138).

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

1528180134 is a wasteful number, since it uses less digits than its factorization.

1528180134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13481 (or 13468 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1528180134 is about 39091.9446177854. The cubic root of 1528180134 is about 1151.8383034649.

Adding to 1528180134 its reverse (4310818251), we get a palindrome (5838998385).

The spelling of 1528180134 in words is "one billion, five hundred twenty-eight million, one hundred eighty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 113 169 226 338 339 507 678 1014 1469 2938 4407 8814 13337 19097 26674 38194 40011 57291 80022 114582 173381 346762 520143 1040286 1507081 2253953 3014162 4507906 4521243 6761859 9042486 13523718 19592053 39184106 58776159 117552318 254696689 509393378 764090067 1528180134