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59940 = 2234537
BaseRepresentation
bin1110101000100100
310001020000
432220210
53404230
61141300
7336516
oct165044
9101200
1059940
1141041
122a830
132138a
1417bb6
1512b60
hexea24

59940 has 60 divisors (see below), whose sum is σ = 193116. Its totient is φ = 15552.

The previous prime is 59929. The next prime is 59951. The reversal of 59940 is 4995.

Subtracting from 59940 its reverse (4995), we obtain a palindrome (54945).

It can be divided in two parts, 59 and 940, that added together give a palindrome (999).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (59929) and next prime (59951).

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 20736 = 198^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

59940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 19 ways as a sum of consecutive naturals, for example, 1602 + ... + 1638.

259940 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 59940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96558).

59940 is an abundant number, since it is smaller than the sum of its proper divisors (133176).

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

59940 is a wasteful number, since it uses less digits than its factorization.

59940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 59940 is about 244.8264691572. The cubic root of 59940 is about 39.1356225006.

The spelling of 59940 in words is "fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 270 324 333 370 405 444 540 555 666 740 810 999 1110 1332 1620 1665 1998 2220 2997 3330 3996 4995 5994 6660 9990 11988 14985 19980 29970 59940