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1096381440 = 210335711103
BaseRepresentation
bin100000101011001…
…0111010000000000
32211102000221121000
41001112113100000
54221133201230
6300443132000
736112042230
oct10126272000
92742027530
101096381440
11512973670
12267214000
131461b491b
14a5879cc0
15663bdb60
hex41597400

1096381440 has 704 divisors, whose sum is σ = 4904939520. Its totient is φ = 225607680.

The previous prime is 1096381417. The next prime is 1096381441. The reversal of 1096381440 is 441836901.

1096381440 is a `hidden beast` number, since 1 + 0 + 9 + 638 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 1096381395 and 1096381404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1096381441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644429 + ... + 10644531.

Almost surely, 21096381440 is an apocalyptic number.

1096381440 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 1096381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452469760).

1096381440 is an abundant number, since it is smaller than the sum of its proper divisors (3808558080).

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

1096381440 is a wasteful number, since it uses less digits than its factorization.

1096381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1096381440 is about 33111.6511216218. The cubic root of 1096381440 is about 1031.1469424286.

The spelling of 1096381440 in words is "one billion, ninety-six million, three hundred eighty-one thousand, four hundred forty".