Search a number
-
+
9020630529 = 346121732
BaseRepresentation
bin10000110011010101…
…11110011000000001
3212021122220111210000
420121222332120001
5121433240134104
64051035230213
7436353044241
oct103152763001
925248814700
109020630529
113909a02259
1218b8ba8369
13b09b24701
14618065b21
1537be04639
hex219abe601

9020630529 has 45 divisors (see below), whose sum is σ = 13779437529. Its totient is φ = 5880975840.

The previous prime is 9020630519. The next prime is 9020630543. The reversal of 9020630529 is 9250360209.

The square root of 9020630529 is 94977.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 137945025 + 8882685504 = 11745^2 + 94248^2 .

It is not a de Polignac number, because 9020630529 - 229 = 8483759617 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9020630493 and 9020630502.

It is not an unprimeable number, because it can be changed into a prime (9020630519) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52142287 + ... + 52142459.

Almost surely, 29020630529 is an apocalyptic number.

9020630529 is the 94977-th square number.

9020630529 is the 47489-th centered octagonal number.

It is an amenable number.

9020630529 is a deficient number, since it is larger than the sum of its proper divisors (4758807000).

9020630529 is an frugal number, since it uses more digits than its factorization.

9020630529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The cubic root of 9020630529 is about 2081.6719890371.

Multiplying 9020630529 by its sum of digits (36), we get a square (324742699044 = 5698622).

The spelling of 9020630529 in words is "nine billion, twenty million, six hundred thirty thousand, five hundred twenty-nine".

Divisors: 1 3 9 27 61 81 173 183 519 549 1557 1647 3721 4671 4941 10553 11163 14013 29929 31659 33489 89787 94977 100467 269361 284931 301401 643733 808083 854793 1825669 1931199 2424249 5477007 5793597 16431021 17380791 49293063 52142373 111365809 147879189 334097427 1002292281 3006876843 9020630529