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1085037696 = 273223311321
BaseRepresentation
bin100000010101100…
…0101110010000000
32210121200121220100
41000223011302000
54210232201241
6255400042400
735613445131
oct10053056200
92717617810
101085037696
11507525976
12263463400
13143a42552
14a4165c88
15653cc9b6
hex40ac5c80

1085037696 has 192 divisors, whose sum is σ = 3365706240. Its totient is φ = 334540800.

The previous prime is 1085037689. The next prime is 1085037703. The reversal of 1085037696 is 6967305801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1085037689) and next prime (1085037703).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820716 + ... + 822036.

It is an arithmetic number, because the mean of its divisors is an integer number (17529720).

Almost surely, 21085037696 is an apocalyptic number.

1085037696 is a gapful number since it is divisible by the number (16) 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 1085037696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682853120).

1085037696 is an abundant number, since it is smaller than the sum of its proper divisors (2280668544).

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

1085037696 is a wasteful number, since it uses less digits than its factorization.

1085037696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1085037696 is about 32939.9103823918. The cubic root of 1085037696 is about 1027.5783420118.

The spelling of 1085037696 in words is "one billion, eighty-five million, thirty-seven thousand, six hundred ninety-six".