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1096114320 = 243257231069
BaseRepresentation
bin100000101010101…
…0110000010010000
32211101112101011200
41001111112002100
54221101124240
6300433311200
736106550400
oct10125260220
92741471150
101096114320
11512800a04
12267105500
13146120172
14a580a800
1566369930
hex41556090

1096114320 has 180 divisors, whose sum is σ = 4282253820. Its totient is φ = 250532352.

The previous prime is 1096114319. The next prime is 1096114339. The reversal of 1096114320 is 234116901.

1096114320 is a `hidden beast` number, since 1 + 0 + 9 + 611 + 43 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 506790144 + 589324176 = 22512^2 + 24276^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19746 + ... + 50814.

It is an arithmetic number, because the mean of its divisors is an integer number (23790299).

Almost surely, 21096114320 is an apocalyptic number.

1096114320 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 1096114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141126910).

1096114320 is an abundant number, since it is smaller than the sum of its proper divisors (3186139500).

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

1096114320 is a wasteful number, since it uses less digits than its factorization.

1096114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31102 (or 31086 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1096114320 is about 33107.6172504153. The cubic root of 1096114320 is about 1031.0631934907.

It can be divided in two parts, 10961 and 14320, that added together give a square (25281 = 1592).

The spelling of 1096114320 in words is "one billion, ninety-six million, one hundred fourteen thousand, three hundred twenty".