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1025005520 = 245721122161
BaseRepresentation
bin111101000110000…
…101011111010000
32122102201200020102
4331012011133100
54044400134040
6245413231532
734254255200
oct7506053720
92572650212
101025005520
11486652900
122473325a8
13134483a56
149a1ba400
155eec0515
hex3d1857d0

1025005520 has 180 divisors, whose sum is σ = 3048562692. Its totient is φ = 319334400.

The previous prime is 1025005519. The next prime is 1025005523. The reversal of 1025005520 is 255005201.

1025005520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 505530256 + 519475264 = 22484^2 + 22792^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1025005492 and 1025005501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025005523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473240 + ... + 475400.

Almost surely, 21025005520 is an apocalyptic number.

1025005520 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 1025005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524281346).

1025005520 is an abundant number, since it is smaller than the sum of its proper divisors (2023557172).

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

1025005520 is a wasteful number, since it uses less digits than its factorization.

1025005520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1025005520 is about 32015.7073949647. The cubic root of 1025005520 is about 1008.2666475641.

The spelling of 1025005520 in words is "one billion, twenty-five million, five thousand, five hundred twenty".