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1075652424 = 233271117101113
BaseRepresentation
bin100000000011101…
…0010011101001000
32202222000210201200
41000013102131020
54200331334144
6254422544200
735440615620
oct10007223510
92688023650
101075652424
115021a5650
12260298060
13141b07732
14a2c01880
1564676c69
hex401d2748

1075652424 has 384 divisors, whose sum is σ = 3918170880. Its totient is φ = 258048000.

The previous prime is 1075652401. The next prime is 1075652429. The reversal of 1075652424 is 4242565701.

It is a happy number.

1075652424 is a `hidden beast` number, since 107 + 5 + 6 + 524 + 24 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1075652429) 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 95 ways as a sum of consecutive naturals, for example, 9518992 + ... + 9519104.

It is an arithmetic number, because the mean of its divisors is an integer number (10203570).

Almost surely, 21075652424 is an apocalyptic number.

1075652424 is a gapful number since it is divisible by the number (14) 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 1075652424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959085440).

1075652424 is an abundant number, since it is smaller than the sum of its proper divisors (2842518456).

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

1075652424 is a wasteful number, since it uses less digits than its factorization.

1075652424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1075652424 is about 32797.1404851094. The cubic root of 1075652424 is about 1024.6070034943.

The spelling of 1075652424 in words is "one billion, seventy-five million, six hundred fifty-two thousand, four hundred twenty-four".