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1027253696 = 267171931229
BaseRepresentation
bin111101001110101…
…010010111000000
32122120221220011012
4331032222113000
54100434104241
6245533340052
734312340510
oct7516522700
92576856135
101027253696
114879489a7
12248037628
13134a90131
149a603840
15602b66eb
hex3d3aa5c0

1027253696 has 224 divisors, whose sum is σ = 2691993600. Its totient is φ = 378224640.

The previous prime is 1027253687. The next prime is 1027253699. The reversal of 1027253696 is 6963527201.

1027253696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027253699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4485710 + ... + 4485938.

Almost surely, 21027253696 is an apocalyptic number.

1027253696 is a gapful number since it is divisible by the number (16) 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 1027253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345996800).

1027253696 is an abundant number, since it is smaller than the sum of its proper divisors (1664739904).

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

1027253696 is a wasteful number, since it uses less digits than its factorization.

1027253696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 1027253696 is about 32050.7986795961. The cubic root of 1027253696 is about 1009.0032633185.

The spelling of 1027253696 in words is "one billion, twenty-seven million, two hundred fifty-three thousand, six hundred ninety-six".