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1085099232 = 253761103257
BaseRepresentation
bin100000010101101…
…0100110011100000
32210121210202022110
41000223110303200
54210241133412
6255401235320
735614122420
oct10053246340
92717722273
101085099232
11507568128
12263492b40
13143a64569
14a4180480
15653e0d3c
hex40ad4ce0

1085099232 has 192 divisors, whose sum is σ = 3353785344. Its totient is φ = 300810240.

The previous prime is 1085099227. The next prime is 1085099233. The reversal of 1085099232 is 2329905801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085099233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4222048 + ... + 4222304.

It is an arithmetic number, because the mean of its divisors is an integer number (17467632).

Almost surely, 21085099232 is an apocalyptic number.

1085099232 is a gapful number since it is divisible by the number (12) 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 1085099232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676892672).

1085099232 is an abundant number, since it is smaller than the sum of its proper divisors (2268686112).

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

1085099232 is a wasteful number, since it uses less digits than its factorization.

1085099232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1085099232 is about 32940.8444336207. The cubic root of 1085099232 is about 1027.5977674093.

The spelling of 1085099232 in words is "one billion, eighty-five million, ninety-nine thousand, two hundred thirty-two".