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1096532640 = 2536571779
BaseRepresentation
bin100000101011011…
…1100001010100000
32211102022122000000
41001112330022200
54221203021030
6300450300000
736113242110
oct10126741240
92742278000
101096532640
11512a67225
12267287600
131462386a8
14a58b9040
15663ed860
hex415bc2a0

1096532640 has 672 divisors, whose sum is σ = 4759534080. Its totient is φ = 232906752.

The previous prime is 1096532639. The next prime is 1096532663. The reversal of 1096532640 is 462356901.

It is a happy number.

1096532640 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 5 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 1096532595 and 1096532604.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13880121 + ... + 13880199.

It is an arithmetic number, because the mean of its divisors is an integer number (7082640).

Almost surely, 21096532640 is an apocalyptic number.

1096532640 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 1096532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379767040).

1096532640 is an abundant number, since it is smaller than the sum of its proper divisors (3663001440).

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

1096532640 is an equidigital number, since it uses as much as digits as its factorization.

1096532640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1096532640 is about 33113.9342271498. The cubic root of 1096532640 is about 1031.1943414589.

1096532640 divided by its product of nonzero digits (38880) gives a triangular number (28203 = T237).

The spelling of 1096532640 in words is "one billion, ninety-six million, five hundred thirty-two thousand, six hundred forty".