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1085195232 = 2536114229
BaseRepresentation
bin100000010101110…
…1100001111100000
32210121222122000000
41000223230033200
54210302221412
6255403300000
735615002332
oct10053541740
92717878000
101085195232
11507623270
1226351a600
13143a99174
14a41a7452
156540e4dc
hex40aec3e0

1085195232 has 168 divisors, whose sum is σ = 3495282840. Its totient is φ = 328769280.

The previous prime is 1085195219. The next prime is 1085195239. The reversal of 1085195232 is 2325915801.

1085195232 is a `hidden beast` number, since 108 + 519 + 5 + 2 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085195239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 254494 + ... + 258722.

It is an arithmetic number, because the mean of its divisors is an integer number (20805255).

Almost surely, 21085195232 is an apocalyptic number.

1085195232 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 1085195232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747641420).

1085195232 is an abundant number, since it is smaller than the sum of its proper divisors (2410087608).

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

1085195232 is an equidigital number, since it uses as much as digits as its factorization.

1085195232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1085195232 is about 32942.3015589379. The cubic root of 1085195232 is about 1027.6280707750.

The spelling of 1085195232 in words is "one billion, eighty-five million, one hundred ninety-five thousand, two hundred thirty-two".