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133950140 = 225171632417
BaseRepresentation
bin1111111101111…
…10101010111100
3100100001101001022
413332332222330
5233242401030
621143003312
73214362122
oct776765274
9310041038
10133950140
116967a7a5
1238a39538
132199c74c
1413b0b912
15bb5dde5
hex7fbeabc

133950140 has 48 divisors (see below), whose sum is σ = 299793312. Its totient is φ = 50098176.

The previous prime is 133950127. The next prime is 133950149. The reversal of 133950140 is 41059331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133950149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54212 + ... + 56628.

It is an arithmetic number, because the mean of its divisors is an integer number (6245694).

Almost surely, 2133950140 is an apocalyptic number.

133950140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133950140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149896656).

133950140 is an abundant number, since it is smaller than the sum of its proper divisors (165843172).

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

133950140 is a wasteful number, since it uses less digits than its factorization.

133950140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 133950140 is about 11573.6830784327. The cubic root of 133950140 is about 511.6595178909.

The spelling of 133950140 in words is "one hundred thirty-three million, nine hundred fifty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 163 170 326 340 652 815 1630 2417 2771 3260 4834 5542 9668 11084 12085 13855 24170 27710 41089 48340 55420 82178 164356 205445 393971 410890 787942 821780 1575884 1969855 3939710 6697507 7879420 13395014 26790028 33487535 66975070 133950140