Search a number
-
+
561066150 = 235237432351
BaseRepresentation
bin100001011100010…
…011000010100110
31110002202010001210
4201130103002212
52122113104100
6131401332250
716621661241
oct4134230246
91402663053
10561066150
11268786337
12137a97086
138c316408
1454730258
15343cbc50
hex217130a6

561066150 has 96 divisors (see below), whose sum is σ = 1462906368. Its totient is φ = 142128000.

The previous prime is 561066127. The next prime is 561066151. The reversal of 561066150 is 51660165.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561066151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237475 + ... + 239825.

It is an arithmetic number, because the mean of its divisors is an integer number (15238608).

Almost surely, 2561066150 is an apocalyptic number.

561066150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 561066150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731453184).

561066150 is an abundant number, since it is smaller than the sum of its proper divisors (901840218).

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

561066150 is a wasteful number, since it uses less digits than its factorization.

561066150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 561066150 is about 23686.8349510862. The cubic root of 561066150 is about 824.7798126803.

The spelling of 561066150 in words is "five hundred sixty-one million, sixty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 43 50 74 75 86 111 129 150 185 215 222 258 370 430 555 645 925 1075 1110 1290 1591 1850 2150 2351 2775 3182 3225 4702 4773 5550 6450 7053 7955 9546 11755 14106 15910 23510 23865 35265 39775 47730 58775 70530 79550 86987 101093 117550 119325 173974 176325 202186 238650 260961 303279 352650 434935 505465 521922 606558 869870 1010930 1304805 1516395 2174675 2527325 2609610 3032790 3740441 4349350 5054650 6524025 7480882 7581975 11221323 13048050 15163950 18702205 22442646 37404410 56106615 93511025 112213230 187022050 280533075 561066150