Search a number
-
+
851111040 = 27351324361
BaseRepresentation
bin110010101110101…
…110110010000000
32012022111220212010
4302232232302000
53220341023130
6220242132520
730043216203
oct6256566200
92168456763
10851111040
113a748035a
121b9051140
13107439c00
148107193a
154eac10b0
hex32baec80

851111040 has 384 divisors, whose sum is σ = 3055250880. Its totient is φ = 201277440.

The previous prime is 851111033. The next prime is 851111059. The reversal of 851111040 is 40111158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 851110998 and 851111016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13952610 + ... + 13952670.

Almost surely, 2851111040 is an apocalyptic number.

851111040 is a gapful number since it is divisible by the number (80) 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 851111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527625440).

851111040 is an abundant number, since it is smaller than the sum of its proper divisors (2204139840).

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

851111040 is a wasteful number, since it uses less digits than its factorization.

851111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 851111040 is about 29173.8074306389. The cubic root of 851111040 is about 947.6807841189.

Adding to 851111040 its reverse (40111158), we get a palindrome (891222198).

The spelling of 851111040 in words is "eight hundred fifty-one million, one hundred eleven thousand, forty".