Search a number
-
+
32855040 = 2103252331
BaseRepresentation
bin111110101010…
…1010000000000
32021211012122100
41331111100000
531402330130
63132110400
7546156201
oct175252000
967735570
1032855040
1117600529
12b005400
136a6466a
1445135a8
152d3ec60
hex1f55400

32855040 has 264 divisors, whose sum is σ = 122623488. Its totient is φ = 8110080.

The previous prime is 32855023. The next prime is 32855041. The reversal of 32855040 is 4055823.

It is a junction number, because it is equal to n+sod(n) for n = 32854995 and 32855013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32855041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059825 + ... + 1059855.

Almost surely, 232855040 is an apocalyptic number.

32855040 is a gapful number since it is divisible by the number (30) 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 32855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61311744).

32855040 is an abundant number, since it is smaller than the sum of its proper divisors (89768448).

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

32855040 is a wasteful number, since it uses less digits than its factorization.

32855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 32855040 is about 5731.9316115948. The cubic root of 32855040 is about 320.2830828348.

The spelling of 32855040 in words is "thirty-two million, eight hundred fifty-five thousand, forty".