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1090536480 = 253351153433
BaseRepresentation
bin100000100000000…
…0100010000100000
32211000000222211000
41001000010100200
54213134131410
6300113552000
736011256435
oct10100042040
92730028730
101090536480
1150a641220
12265275600
13144c19377
14a4b97b8c
1565b16dc0
hex41004420

1090536480 has 384 divisors, whose sum is σ = 4252227840. Its totient is φ = 258785280.

The previous prime is 1090536479. The next prime is 1090536481. The reversal of 1090536480 is 846350901.

1090536480 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 5 + 3 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1090536479) and next prime (1090536481).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1090536481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2518344 + ... + 2518776.

It is an arithmetic number, because the mean of its divisors is an integer number (11073510).

Almost surely, 21090536480 is an apocalyptic number.

1090536480 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 1090536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126113920).

1090536480 is an abundant number, since it is smaller than the sum of its proper divisors (3161691360).

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

1090536480 is a wasteful number, since it uses less digits than its factorization.

1090536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1090536480 is about 33023.2717942968. The cubic root of 1090536480 is about 1029.3112811876.

The spelling of 1090536480 in words is "one billion, ninety million, five hundred thirty-six thousand, four hundred eighty".