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38560 = 255241
BaseRepresentation
bin1001011010100000
31221220011
421122200
52213220
6454304
7220264
oct113240
957804
1038560
1126a75
121a394
1314722
14100a4
15b65a
hex96a0

38560 has 24 divisors (see below), whose sum is σ = 91476. Its totient is φ = 15360.

The previous prime is 38557. The next prime is 38561. The reversal of 38560 is 6583.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 144 = 196^2 + 12^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 280.

238560 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 38560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738).

38560 is an abundant number, since it is smaller than the sum of its proper divisors (52916).

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

38560 is a wasteful number, since it uses less digits than its factorization.

38560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 38560 is about 196.3670033381. The cubic root of 38560 is about 33.7840990529.

The spelling of 38560 in words is "thirty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1205 1928 2410 3856 4820 7712 9640 19280 38560