[go: up one dir, main page]

Search a number
-
+
7148032 = 2923607
BaseRepresentation
bin11011010001001000000000
3111110011020221
4123101020000
53312214112
6413112424
7114520513
oct33211000
914404227
107148032
114042471
122488714
131633708
14d40d7a
15962e07
hex6d1200

7148032 has 40 divisors (see below), whose sum is σ = 14927616. Its totient is φ = 3412992.

The previous prime is 7148023. The next prime is 7148051. The reversal of 7148032 is 2308417.

It is a super-2 number, since 2×71480322 = 102188722946048, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 7147988 and 7148006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11473 + ... + 12079.

Almost surely, 27148032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463808).

7148032 is an abundant number, since it is smaller than the sum of its proper divisors (7779584).

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

7148032 is an equidigital number, since it uses as much as digits as its factorization.

7148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 7148032 is about 2673.5803709633. The cubic root of 7148032 is about 192.6321754860.

The spelling of 7148032 in words is "seven million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 607 736 1214 1472 2428 2944 4856 5888 9712 11776 13961 19424 27922 38848 55844 77696 111688 155392 223376 310784 446752 893504 1787008 3574016 7148032