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133950 = 23521947
BaseRepresentation
bin100000101100111110
320210202010
4200230332
513241300
62512050
71065345
oct405476
9223663
10133950
1191703
1265626
1348c7b
1436b5c
1529a50
hex20b3e

133950 has 48 divisors (see below), whose sum is σ = 357120. Its totient is φ = 33120.

The previous prime is 133949. The next prime is 133963. The reversal of 133950 is 59331.

133950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2827 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2133950 is an apocalyptic number.

133950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

133950 is an abundant number, since it is smaller than the sum of its proper divisors (223170).

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

133950 is a wasteful number, since it uses less digits than its factorization.

133950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 133950 is about 365.9918031869. The cubic root of 133950 is about 51.1659339635.

The spelling of 133950 in words is "one hundred thirty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 47 50 57 75 94 95 114 141 150 190 235 282 285 470 475 570 705 893 950 1175 1410 1425 1786 2350 2679 2850 3525 4465 5358 7050 8930 13395 22325 26790 44650 66975 133950