Search a number
-
+
540672132 = 223711131923103
BaseRepresentation
bin100000001110100…
…000000010000100
31101200100222201210
4200032200002010
52101403002012
6125352251420
716253431410
oct4016400204
91350328653
10540672132
11258216a80
121310a0b70
1388025850
1451b41d40
15326ee23c
hex203a0084

540672132 has 384 divisors, whose sum is σ = 1878589440. Its totient is φ = 116328960.

The previous prime is 540672127. The next prime is 540672137. The reversal of 540672132 is 231276045.

It is an interprime number because it is at equal distance from previous prime (540672127) and next prime (540672137).

It is a self number, because there is not a number n which added to its sum of digits gives 540672132.

It is not an unprimeable number, because it can be changed into a prime (540672137) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5249193 + ... + 5249295.

It is an arithmetic number, because the mean of its divisors is an integer number (4892160).

Almost surely, 2540672132 is an apocalyptic number.

540672132 is a gapful number since it is divisible by the number (52) 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 540672132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939294720).

540672132 is an abundant number, since it is smaller than the sum of its proper divisors (1337917308).

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

540672132 is a wasteful number, since it uses less digits than its factorization.

540672132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 540672132 is about 23252.3575578908. The cubic root of 540672132 is about 814.6630054430.

It can be divided in two parts, 540672 and 132, that multiplied together give a square (71368704 = 84482).

The spelling of 540672132 in words is "five hundred forty million, six hundred seventy-two thousand, one hundred thirty-two".