Search a number
-
+
30561104 = 2472172293
BaseRepresentation
bin111010010010…
…1001101010000
32010111122221202
41310211031100
530310423404
63011010332
7520523300
oct164451520
963448852
1030561104
1116284012
12a2999a8
1364404c2
1440b7600
152a3a21e
hex1d25350

30561104 has 60 divisors (see below), whose sum is σ = 72962964. Its totient is φ = 12321792.

The previous prime is 30561067. The next prime is 30561119. The reversal of 30561104 is 40116503.

It can be written as a sum of positive squares in 2 ways, for example, as 16483600 + 14077504 = 4060^2 + 3752^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12182 + ... + 14474.

Almost surely, 230561104 is an apocalyptic number.

30561104 is a gapful number since it is divisible by the number (34) 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 30561104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36481482).

30561104 is an abundant number, since it is smaller than the sum of its proper divisors (42401860).

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

30561104 is a wasteful number, since it uses less digits than its factorization.

30561104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 30561104 is about 5528.2098368278. The cubic root of 30561104 is about 312.6484977438.

Adding to 30561104 its reverse (40116503), we get a palindrome (70677607).

The spelling of 30561104 in words is "thirty million, five hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 2293 3332 4586 6664 9172 13328 16051 18344 32102 36688 38981 64204 77962 112357 128408 155924 224714 256816 272867 311848 449428 545734 623696 898856 1091468 1797712 1910069 2182936 3820138 4365872 7640276 15280552 30561104