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1085912640 = 263253112163
BaseRepresentation
bin100000010111001…
…1011011001000000
32210200100002002200
41000232123121000
54210443201030
6255430513200
735624051031
oct10056333100
92720302080
101085912640
11507a7326a
12263805800
13143c8a877
14a4312a88
1565501d60
hex40b9b640

1085912640 has 168 divisors, whose sum is σ = 3855890688. Its totient is φ = 280212480.

The previous prime is 1085912603. The next prime is 1085912651. The reversal of 1085912640 is 462195801.

1085912640 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 9 + 1 + 2 + 640 = 666.

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 = 1085912595 and 1085912604.

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, 83199 + ... + 95361.

Almost surely, 21085912640 is an apocalyptic number.

1085912640 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 1085912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927945344).

1085912640 is an abundant number, since it is smaller than the sum of its proper divisors (2769978048).

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

1085912640 is a wasteful number, since it uses less digits than its factorization.

1085912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1085912640 is about 32953.1886165816. The cubic root of 1085912640 is about 1027.8544712664.

The spelling of 1085912640 in words is "one billion, eighty-five million, nine hundred twelve thousand, six hundred forty".