Search a number
-
+
3126710889 = 361921092
BaseRepresentation
bin1011101001011101…
…1101001001101001
322001220110101000000
42322113131021221
522400414222024
61234132133213
7140324414121
oct27227351151
98056411000
103126710889
111364a46195
12733167209
133aaa1abb3
1421938bc81
15134772cc9
hexba5dd269

3126710889 has 63 divisors (see below), whose sum is σ = 4993448103. Its totient is φ = 1956647664.

The previous prime is 3126710869. The next prime is 3126710891. The reversal of 3126710889 is 9880176213.

The square root of 3126710889 is 55917.

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., 2179302489 + 947408400 = 46683^2 + 30780^2 .

It is not a de Polignac number, because 3126710889 - 27 = 3126710761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3126710819) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 28685367 + ... + 28685475.

It is an arithmetic number, because the mean of its divisors is an integer number (79261081).

Almost surely, 23126710889 is an apocalyptic number.

3126710889 is the 55917-th square number.

3126710889 is the 27959-th centered octagonal number.

It is an amenable number.

3126710889 is a deficient number, since it is larger than the sum of its proper divisors (1866737214).

3126710889 is an frugal number, since it uses more digits than its factorization.

3126710889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The cubic root of 3126710889 is about 1462.2756294851.

The spelling of 3126710889 in words is "three billion, one hundred twenty-six million, seven hundred ten thousand, eight hundred eighty-nine".

Divisors: 1 3 9 19 27 57 81 109 171 243 327 361 513 729 981 1083 1539 2071 2943 3249 4617 6213 8829 9747 11881 13851 18639 26487 29241 35643 39349 55917 79461 87723 106929 118047 167751 225739 263169 320787 354141 503253 677217 962361 1062423 1509759 2031651 2887083 3187269 4289041 6094953 8661249 9561807 12867123 18284859 28685421 38601369 54854577 115804107 164563731 347412321 1042236963 3126710889