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1255332096 = 28324197137
BaseRepresentation
bin100101011010010…
…1101100100000000
310020111010110220100
41022310231210000
510032331111341
6324322042400
743052101224
oct11264554400
93214113810
101255332096
11594669647
122b04a9400
131700c8875
14bca14784
157531a3b6
hex4ad2d900

1255332096 has 216 divisors, whose sum is σ = 3773277144. Its totient is φ = 401080320.

The previous prime is 1255332079. The next prime is 1255332097. The reversal of 1255332096 is 6902335521.

1255332096 is a `hidden beast` number, since 12 + 5 + 533 + 20 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20793600 + 1234538496 = 4560^2 + 35136^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1255332096.

It is not an unprimeable number, because it can be changed into a prime (1255332097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9162940 + ... + 9163076.

Almost surely, 21255332096 is an apocalyptic number.

1255332096 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 1255332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886638572).

1255332096 is an abundant number, since it is smaller than the sum of its proper divisors (2517945048).

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

1255332096 is a wasteful number, since it uses less digits than its factorization.

1255332096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1255332096 is about 35430.6660394636. Note that the first 3 decimals coincide. The cubic root of 1255332096 is about 1078.7468592810.

The spelling of 1255332096 in words is "one billion, two hundred fifty-five million, three hundred thirty-two thousand, ninety-six".