Search a number
-
+
1040227272 = 2334721812
BaseRepresentation
bin111110000000001…
…001101111001000
32200111101000120000
4332000021233020
54112244233042
6251115403000
734530533400
oct7600115710
92614330500
101040227272
114941aa167
12250453460
131376832c6
149c21d800
15614ca74c
hex3e009bc8

1040227272 has 180 divisors, whose sum is σ = 3408118065. Its totient is φ = 295565760.

The previous prime is 1040227261. The next prime is 1040227291. The reversal of 1040227272 is 2727220401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 628705476 + 411521796 = 25074^2 + 20286^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22806.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5747022 + ... + 5747202.

Almost surely, 21040227272 is an apocalyptic number.

1040227272 is a gapful number since it is divisible by the number (12) 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 1040227272

1040227272 is an abundant number, since it is smaller than the sum of its proper divisors (2367890793).

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

1040227272 is an equidigital number, since it uses as much as digits as its factorization.

1040227272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1040227272 is about 32252.5545034808. The cubic root of 1040227272 is about 1013.2332006128.

Adding to 1040227272 its reverse (2727220401), we get a palindrome (3767447673).

The spelling of 1040227272 in words is "one billion, forty million, two hundred twenty-seven thousand, two hundred seventy-two".