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850930920 = 233457172207
BaseRepresentation
bin110010101110000…
…010110011101000
32012022011202210000
4302232002303220
53220314242140
6220234223000
730041536110
oct6256026350
92168152700
10850930920
113a7367aa4
121b8b84a60
131073a5c28
1481026040
154ea87a30
hex32b82ce8

850930920 has 320 divisors, whose sum is σ = 3462497280. Its totient is φ = 182974464.

The previous prime is 850930919. The next prime is 850930939. The reversal of 850930920 is 29039058.

It is a super-2 number, since 2×8509309202 = 1448166861224092800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384457 + ... + 386663.

It is an arithmetic number, because the mean of its divisors is an integer number (10820304).

Almost surely, 2850930920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731248640).

850930920 is an abundant number, since it is smaller than the sum of its proper divisors (2611566360).

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

850930920 is a wasteful number, since it uses less digits than its factorization.

850930920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 850930920 is about 29170.7202516496. The cubic root of 850930920 is about 947.6139270745.

Adding to 850930920 its reverse (29039058), we get a palindrome (879969978).

The spelling of 850930920 in words is "eight hundred fifty million, nine hundred thirty thousand, nine hundred twenty".