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133900920 = 23325433859
BaseRepresentation
bin1111111101100…
…10101001111000
3100022221212112100
413332302221320
5233234312140
621141543400
73214065456
oct776625170
9308855470
10133900920
116964681a
1238a14b60
132198321a
1413ad79d6
15bb4e530
hex7fb2a78

133900920 has 96 divisors (see below), whose sum is σ = 436690800. Its totient is φ = 35582976.

The previous prime is 133900919. The next prime is 133900939. The reversal of 133900920 is 29009331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155451 + ... + 156309.

Almost surely, 2133900920 is an apocalyptic number.

133900920 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 133900920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218345400).

133900920 is an abundant number, since it is smaller than the sum of its proper divisors (302789880).

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

133900920 is a wasteful number, since it uses less digits than its factorization.

133900920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 133900920 is about 11571.5565072293. The cubic root of 133900920 is about 511.5968404232.

The spelling of 133900920 in words is "one hundred thirty-three million, nine hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 433 859 866 1299 1718 1732 2165 2577 2598 3436 3464 3897 4295 4330 5154 5196 6495 6872 7731 7794 8590 8660 10308 10392 12885 12990 15462 15588 17180 17320 19485 20616 25770 25980 30924 31176 34360 38655 38970 51540 51960 61848 77310 77940 103080 154620 155880 309240 371947 743894 1115841 1487788 1859735 2231682 2975576 3347523 3719470 4463364 5579205 6695046 7438940 8926728 11158410 13390092 14877880 16737615 22316820 26780184 33475230 44633640 66950460 133900920