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1147390272 = 2634724517
BaseRepresentation
bin100010001100011…
…1100100101000000
32221222000110120000
41010120330211000
54322212442042
6305504320000
740301441100
oct10430744500
92858013500
101147390272
11539743326
12280313000
13153934272
14ac557200
156aae774c
hex4463c940

1147390272 has 210 divisors, whose sum is σ = 3957402042. Its totient is φ = 327753216.

The previous prime is 1147390267. The next prime is 1147390301. The reversal of 1147390272 is 2720937411.

It can be written as a sum of positive squares in only one way, i.e., 609892416 + 537497856 = 24696^2 + 23184^2 .

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

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 251758 + ... + 256274.

Almost surely, 21147390272 is an apocalyptic number.

1147390272 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 1147390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978701021).

1147390272 is an abundant number, since it is smaller than the sum of its proper divisors (2810011770).

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

1147390272 is an equidigital number, since it uses as much as digits as its factorization.

1147390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1147390272 is about 33873.1497206859. The cubic root of 1147390272 is about 1046.8964355982.

The spelling of 1147390272 in words is "one billion, one hundred forty-seven million, three hundred ninety thousand, two hundred seventy-two".