Search a number
-
+
1230045184 = 2161372
BaseRepresentation
bin100100101010001…
…0000000000000000
310011201112202210001
41021110100000000
510004342421214
6322020045344
742324132364
oct11124200000
93151482701
101230045184
11581368175
122a3b33854
13167ab3bb4
14b95112a4
1572ec2c74
hex49510000

1230045184 has 51 divisors (see below), whose sum is σ = 2478159397. Its totient is φ = 610533376.

The previous prime is 1230045139. The next prime is 1230045197. The reversal of 1230045184 is 4815400321.

The square root of 1230045184 is 35072.

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., 722534400 + 507510784 = 26880^2 + 22528^2 .

It is a super-2 number, since 2×12300451842 = 3026022309363187712, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8978364 + ... + 8978500.

Almost surely, 21230045184 is an apocalyptic number.

1230045184 is the 35072-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230045184

1230045184 is an abundant number, since it is smaller than the sum of its proper divisors (1248114213).

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

1230045184 is an frugal number, since it uses more digits than its factorization.

1230045184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 1230045184 is about 1071.4543893140.

The spelling of 1230045184 in words is "one billion, two hundred thirty million, forty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 512 548 1024 1096 2048 2192 4096 4384 8192 8768 16384 17536 18769 32768 35072 37538 65536 70144 75076 140288 150152 280576 300304 561152 600608 1122304 1201216 2244608 2402432 4489216 4804864 8978432 9609728 19219456 38438912 76877824 153755648 307511296 615022592 1230045184