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985120 = 25547131
BaseRepresentation
bin11110000100000100000
31212001022221
43300200200
5223010440
633040424
711242033
oct3604040
91761287
10985120
11613154
123b6114
13286516
141b901a
15146d4a
hexf0820

985120 has 48 divisors (see below), whose sum is σ = 2395008. Its totient is φ = 382720.

The previous prime is 985109. The next prime is 985121. The reversal of 985120 is 21589.

It is a super-2 number, since 2×9851202 = 1940922828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (985121) by changing a digit.

985120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7455 + ... + 7585.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2985120 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 985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197504).

985120 is an abundant number, since it is smaller than the sum of its proper divisors (1409888).

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

985120 is a wasteful number, since it uses less digits than its factorization.

985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 985120 is about 992.5321153494. The cubic root of 985120 is about 99.5015192987.

The spelling of 985120 in words is "nine hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 131 160 188 235 262 376 470 524 655 752 940 1048 1310 1504 1880 2096 2620 3760 4192 5240 6157 7520 10480 12314 20960 24628 30785 49256 61570 98512 123140 197024 246280 492560 985120