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60040 = 2351979
BaseRepresentation
bin1110101010001000
310001100201
432222020
53410130
61141544
7340021
oct165210
9101321
1060040
1141122
122a8b4
1321436
1417c48
1512bca
hexea88

60040 has 32 divisors (see below), whose sum is σ = 144000. Its totient is φ = 22464.

The previous prime is 60037. The next prime is 60041. The reversal of 60040 is 4006.

Adding to 60040 its reverse (4006), we get a palindrome (64046).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 59999 and 60026.

It is not an unprimeable number, because it can be changed into a prime (60041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 721 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

260040 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 60040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72000).

60040 is an abundant number, since it is smaller than the sum of its proper divisors (83960).

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

60040 is a wasteful number, since it uses less digits than its factorization.

60040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 60040 is about 245.0306103327. The cubic root of 60040 is about 39.1573741850.

The spelling of 60040 in words is "sixty thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 1501 1580 3002 3160 6004 7505 12008 15010 30020 60040