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1139136000 = 2935317349
BaseRepresentation
bin100001111100101…
…1101011000000000
32221101111002211020
41003321131120000
54313104323000
6305011345440
740141332132
oct10371353000
92841432736
101139136000
11535015812
122795b2280
13152004192
14ab409052
156a016ba0
hex43e5d600

1139136000 has 320 divisors, whose sum is σ = 4021617600. Its totient is φ = 285081600.

The previous prime is 1139135993. The next prime is 1139136007. The reversal of 1139136000 is 6319311.

It is an interprime number because it is at equal distance from previous prime (1139135993) and next prime (1139136007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139136007) by changing a digit.

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, 3263826 + ... + 3264174.

It is an arithmetic number, because the mean of its divisors is an integer number (12567555).

Almost surely, 21139136000 is an apocalyptic number.

1139136000 is a gapful number since it is divisible by the number (10) 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 1139136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010808800).

1139136000 is an abundant number, since it is smaller than the sum of its proper divisors (2882481600).

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

1139136000 is an equidigital number, since it uses as much as digits as its factorization.

1139136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 1139136000 is about 33751.0888713238. The cubic root of 1139136000 is about 1044.3799500775.

The spelling of 1139136000 in words is "one billion, one hundred thirty-nine million, one hundred thirty-six thousand".