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9060100 = 225272432
BaseRepresentation
bin100010100011…
…111100000100
3122001022010021
4202203330010
54304410400
6522104524
7140003200
oct42437404
918038107
109060100
115128a95
12304b144
131b52b0a
1412bbb00
15bde71a
hex8a3f04

9060100 has 81 divisors (see below), whose sum is σ = 23414517. Its totient is φ = 3034080.

The previous prime is 9060089. The next prime is 9060109. The reversal of 9060100 is 10609.

The square root of 9060100 is 3010.

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

It can be written as a sum of positive squares in only one way, i.e., 3261636 + 5798464 = 1806^2 + 2408^2 .

It is not an unprimeable number, because it can be changed into a prime (9060109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 210679 + ... + 210721.

Almost surely, 29060100 is an apocalyptic number.

9060100 is the 3010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9060100

9060100 is an abundant number, since it is smaller than the sum of its proper divisors (14354417).

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

9060100 is a wasteful number, since it uses less digits than its factorization.

9060100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 9060100 is about 208.4703667340.

Multiplying 9060100 by its sum of digits (16), we get a square (144961600 = 120402).

Adding to 9060100 its reverse (10609), we get a palindrome (9070709).

Multiplying 9060100 by its reverse (10609), we get a square (96118600900 = 3100302).

The spelling of 9060100 in words is "nine million, sixty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 49 50 70 86 98 100 140 172 175 196 215 245 301 350 430 490 602 700 860 980 1075 1204 1225 1505 1849 2107 2150 2450 3010 3698 4214 4300 4900 6020 7396 7525 8428 9245 10535 12943 15050 18490 21070 25886 30100 36980 42140 46225 51772 52675 64715 90601 92450 105350 129430 181202 184900 210700 258860 323575 362404 453005 647150 906010 1294300 1812020 2265025 4530050 9060100