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15014032020 = 2236513113701
BaseRepresentation
bin11011111101110011…
…11111001010010100
31102202100112212000000
431332321333022110
5221222043011040
610521454451300
71041030111051
oct157671771224
942670485000
1015014032020
116405036529
122ab0203b30
13155371cc20
14a26038028
155cd187130
hex37ee7f294

15014032020 has 336 divisors, whose sum is σ = 51432715152. Its totient is φ = 3657830400.

The previous prime is 15014031979. The next prime is 15014032043. The reversal of 15014032020 is 2023041051.

It can be written as a sum of positive squares in 8 ways, for example, as 2166716304 + 12847315716 = 46548^2 + 113346^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 15014031984 and 15014032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21417670 + ... + 21418370.

It is an arithmetic number, because the mean of its divisors is an integer number (153073557).

Almost surely, 215014032020 is an apocalyptic number.

15014032020 is a gapful number since it is divisible by the number (10) 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 15014032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25716357576).

15014032020 is an abundant number, since it is smaller than the sum of its proper divisors (36418683132).

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

15014032020 is a wasteful number, since it uses less digits than its factorization.

15014032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 15014032020 its reverse (2023041051), we get a palindrome (17037073071).

The spelling of 15014032020 in words is "fifteen billion, fourteen million, thirty-two thousand, twenty".