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2532047760 = 24325113110313
BaseRepresentation
bin1001011011101011…
…1111101110010000
320112110111100112200
42112322333232100
520141201012020
61055130323200
7116514023304
oct22672775620
96473440480
102532047760
11108a302a60
125a7b89500
13314770518
141a03d3d04
15ec45b590
hex96ebfb90

2532047760 has 240 divisors, whose sum is σ = 9576672768. Its totient is φ = 593971200.

The previous prime is 2532047753. The next prime is 2532047767. The reversal of 2532047760 is 677402352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2532047753) and next prime (2532047767).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×25320477602 = 12822531717842035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2532047767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240364 + ... + 250676.

Almost surely, 22532047760 is an apocalyptic number.

2532047760 is a gapful number since it is divisible by the number (20) 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 2532047760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788336384).

2532047760 is an abundant number, since it is smaller than the sum of its proper divisors (7044625008).

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

2532047760 is a wasteful number, since it uses less digits than its factorization.

2532047760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10365 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2532047760 is about 50319.4570717928. The cubic root of 2532047760 is about 1362.9836025363.

The spelling of 2532047760 in words is "two billion, five hundred thirty-two million, forty-seven thousand, seven hundred sixty".