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855697920 = 29357111447
BaseRepresentation
bin110011000000001…
…110101000000000
32012122010221212120
4303000032220000
53223024313140
6220524324240
730130212060
oct6300165000
92178127776
10855697920
113aa023570
121ba6a3680
1310838493c
14819073a0
15501ca1d0
hex3300ea00

855697920 has 320 divisors, whose sum is σ = 3412924416. Its totient is φ = 177684480.

The previous prime is 855697903. The next prime is 855697943. The reversal of 855697920 is 29796558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590637 + ... + 592083.

Almost surely, 2855697920 is an apocalyptic number.

855697920 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 855697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706462208).

855697920 is an abundant number, since it is smaller than the sum of its proper divisors (2557226496).

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

855697920 is a wasteful number, since it uses less digits than its factorization.

855697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 855697920 is about 29252.3147802016. The cubic root of 855697920 is about 949.3801755562.

The spelling of 855697920 in words is "eight hundred fifty-five million, six hundred ninety-seven thousand, nine hundred twenty".