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5540124132 = 22325316717387
BaseRepresentation
bin1010010100011011…
…11001010111100100
3112022002201110120200
411022031321113210
542321232433012
62313424030500
7254201164254
oct51215712744
915262643520
105540124132
11239328a294
1210a7462430
136a3a21b7a
143a7add964
152265983dc
hex14a3795e4

5540124132 has 72 divisors (see below), whose sum is σ = 14354698176. Its totient is φ = 1800911424.

The previous prime is 5540124119. The next prime is 5540124137. The reversal of 5540124132 is 2314210455.

It is a junction number, because it is equal to n+sod(n) for n = 5540124096 and 5540124105.

It is not an unprimeable number, because it can be changed into a prime (5540124137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309943 + ... + 327329.

It is an arithmetic number, because the mean of its divisors is an integer number (199370808).

Almost surely, 25540124132 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 5540124132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177349088).

5540124132 is an abundant number, since it is smaller than the sum of its proper divisors (8814574044).

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

5540124132 is a wasteful number, since it uses less digits than its factorization.

5540124132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17617 (or 17612 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5540124132 is about 74432.0101300509. The cubic root of 5540124132 is about 1769.4562612116.

Adding to 5540124132 its reverse (2314210455), we get a palindrome (7854334587).

The spelling of 5540124132 in words is "five billion, five hundred forty million, one hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 167 212 318 334 477 501 636 668 954 1002 1503 1908 2004 3006 6012 8851 17387 17702 26553 34774 35404 52161 53106 69548 79659 104322 106212 156483 159318 208644 312966 318636 625932 921511 1843022 2764533 2903629 3686044 5529066 5807258 8293599 8710887 11058132 11614516 16587198 17421774 26132661 33174396 34843548 52265322 104530644 153892337 307784674 461677011 615569348 923354022 1385031033 1846708044 2770062066 5540124132