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1136823072 = 25371133141
BaseRepresentation
bin100001111000010…
…1000101100100000
32221020010121002020
41003300220230200
54312011314242
6304450021440
740112556660
oct10360505440
92836117066
101136823072
11533786000
12278877880
131516a4498
14aada61a0
1569c0b6ec
hex43c28b20

1136823072 has 384 divisors, whose sum is σ = 3966713856. Its totient is φ = 278784000.

The previous prime is 1136823043. The next prime is 1136823073. The reversal of 1136823072 is 2703286311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136823073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27727372 + ... + 27727412.

It is an arithmetic number, because the mean of its divisors is an integer number (10329984).

Almost surely, 21136823072 is an apocalyptic number.

1136823072 is a gapful number since it is divisible by the number (12) 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 1136823072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983356928).

1136823072 is an abundant number, since it is smaller than the sum of its proper divisors (2829890784).

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

1136823072 is a wasteful number, since it uses less digits than its factorization.

1136823072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1136823072 is about 33716.8069662594. The cubic root of 1136823072 is about 1043.6726267623.

The spelling of 1136823072 in words is "one billion, one hundred thirty-six million, eight hundred twenty-three thousand, seventy-two".