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59950 = 25211109
BaseRepresentation
bin1110101000101110
310001020101
432220232
53404300
61141314
7336532
oct165056
9101211
1059950
1141050
122a83a
1321397
1417bc2
1512b6a
hexea2e

59950 has 24 divisors (see below), whose sum is σ = 122760. Its totient is φ = 21600.

The previous prime is 59929. The next prime is 59951. The reversal of 59950 is 5995.

59950 is a Rhonda number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59951) by changing a digit.

59950 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 11 ways as a sum of consecutive naturals, for example, 496 + ... + 604.

It is an arithmetic number, because the mean of its divisors is an integer number (5115).

259950 is an apocalyptic number.

59950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59950 is an abundant number, since it is smaller than the sum of its proper divisors (62810).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61380).

59950 is a wasteful number, since it uses less digits than its factorization.

59950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 59950 is about 244.8468909339. The cubic root of 59950 is about 39.1377987572.

The spelling of 59950 in words is "fifty-nine thousand, nine hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 109 110 218 275 545 550 1090 1199 2398 2725 5450 5995 11990 29975 59950