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1010528064 = 263271321483
BaseRepresentation
bin111100001110110…
…110111101000000
32121102111010220100
4330032312331000
54032143344224
6244135042400
734020226650
oct7416667500
92542433810
101010528064
11479464767
12242510400
13131485200
14982cc360
155dab0ac9
hex3c3b6f40

1010528064 has 252 divisors, whose sum is σ = 3586922976. Its totient is φ = 266333184.

The previous prime is 1010528063. The next prime is 1010528083. The reversal of 1010528064 is 4608250101.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010528063) 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, 680667 + ... + 682149.

Almost surely, 21010528064 is an apocalyptic number.

1010528064 is a gapful number since it is divisible by the number (14) 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 1010528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793461488).

1010528064 is an abundant number, since it is smaller than the sum of its proper divisors (2576394912).

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

1010528064 is a wasteful number, since it uses less digits than its factorization.

1010528064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1010528064 is about 31788.8040668409. The cubic root of 1010528064 is about 1003.4971106276.

Adding to 1010528064 its reverse (4608250101), we get a palindrome (5618778165).

The spelling of 1010528064 in words is "one billion, ten million, five hundred twenty-eight thousand, sixty-four".