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1300453128 = 2332134379409
BaseRepresentation
bin100110110000011…
…0101011100001000
310100122000212022200
41031200311130020
510130404000003
6333013120200
744140445352
oct11540653410
93318025280
101300453128
11608087757
12303629060
131795662c0
14c49dc0d2
157927e6a3
hex4d835708

1300453128 has 192 divisors, whose sum is σ = 3939936000. Its totient is φ = 384943104.

The previous prime is 1300453117. The next prime is 1300453139. The reversal of 1300453128 is 8213540031.

It is a happy number.

1300453128 is a `hidden beast` number, since 1 + 300 + 45 + 312 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1300453117) and next prime (1300453139).

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 47 ways as a sum of consecutive naturals, for example, 3179388 + ... + 3179796.

It is an arithmetic number, because the mean of its divisors is an integer number (20520500).

Almost surely, 21300453128 is an apocalyptic number.

1300453128 is a gapful number since it is divisible by the number (18) 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 1300453128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969968000).

1300453128 is an abundant number, since it is smaller than the sum of its proper divisors (2639482872).

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

1300453128 is a wasteful number, since it uses less digits than its factorization.

1300453128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1300453128 is about 36061.7959619318. The cubic root of 1300453128 is about 1091.5196736320.

Adding to 1300453128 its reverse (8213540031), we get a palindrome (9513993159).

The spelling of 1300453128 in words is "one billion, three hundred million, four hundred fifty-three thousand, one hundred twenty-eight".