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1300332096 = 26337193557
BaseRepresentation
bin100110110000001…
…0111111001000000
310100121210201022000
41031200113321000
510130341111341
6333010344000
744136432450
oct11540277100
93317721260
101300332096
11608004828
1230358b000
1317952319b
14c49a9d60
15792588b6
hex4d817e40

1300332096 has 224 divisors, whose sum is σ = 4399361280. Its totient is φ = 368934912.

The previous prime is 1300332053. The next prime is 1300332101. The reversal of 1300332096 is 6902330031.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2334250 + ... + 2334806.

Almost surely, 21300332096 is an apocalyptic number.

1300332096 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 1300332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199680640).

1300332096 is an abundant number, since it is smaller than the sum of its proper divisors (3099029184).

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

1300332096 is a wasteful number, since it uses less digits than its factorization.

1300332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1300332096 is about 36060.1178034681. The cubic root of 1300332096 is about 1091.4858103308.

The spelling of 1300332096 in words is "one billion, three hundred million, three hundred thirty-two thousand, ninety-six".