[go: up one dir, main page]

Search a number
-
+
1030089025 = 52741312
BaseRepresentation
bin111101011001011…
…110100101000001
32122210021221111101
4331121132211001
54102200322100
6250114214401
734345420000
oct7531364501
92583257441
101030089025
11489505149
12248b84401
13135543844
149ab40c37
156067686a
hex3d65e941

1030089025 has 45 divisors (see below), whose sum is σ = 1501568483. Its totient is φ = 700954800.

The previous prime is 1030089023. The next prime is 1030089059. The reversal of 1030089025 is 5209800301.

The square root of 1030089025 is 32095.

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., 370832049 + 659256976 = 19257^2 + 25676^2 .

It is not a de Polignac number, because 1030089025 - 21 = 1030089023 is a prime.

It is a super-2 number, since 2×10300890252 = 2122166798850901250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030088984 and 1030089002.

It is not an unprimeable number, because it can be changed into a prime (1030089023) 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, 7863210 + ... + 7863340.

Almost surely, 21030089025 is an apocalyptic number.

1030089025 is the 32095-th square number.

1030089025 is the 16048-th centered octagonal number.

It is an amenable number.

1030089025 is a deficient number, since it is larger than the sum of its proper divisors (471479458).

1030089025 is an frugal number, since it uses more digits than its factorization.

1030089025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The cubic root of 1030089025 is about 1009.9307291641.

Adding to 1030089025 its reverse (5209800301), we get a palindrome (6239889326).

The spelling of 1030089025 in words is "one billion, thirty million, eighty-nine thousand, twenty-five".

Divisors: 1 5 7 25 35 49 131 175 245 343 655 917 1225 1715 2401 3275 4585 6419 8575 12005 17161 22925 32095 44933 60025 85805 120127 160475 224665 314531 429025 600635 840889 1123325 1572655 3003175 4204445 5886223 7863275 21022225 29431115 41203561 147155575 206017805 1030089025