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133741520 = 24511379401
BaseRepresentation
bin1111111100010…
…11101111010000
3100022122202212122
413332023233100
5233214212040
621134313412
73212532653
oct776135720
9308582778
10133741520
1169547a90
1238958868
13219287c3
1413a9589a
15bb1c1b5
hex7f8bbd0

133741520 has 80 divisors (see below), whose sum is σ = 340960320. Its totient is φ = 48384000.

The previous prime is 133741459. The next prime is 133741523. The reversal of 133741520 is 25147331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 133741520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133741523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 333320 + ... + 333720.

It is an arithmetic number, because the mean of its divisors is an integer number (4262004).

Almost surely, 2133741520 is an apocalyptic number.

133741520 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 133741520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170480160).

133741520 is an abundant number, since it is smaller than the sum of its proper divisors (207218800).

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

133741520 is a wasteful number, since it uses less digits than its factorization.

133741520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 133741520 is about 11564.6668780385. Note that the first 3 decimals coincide. The cubic root of 133741520 is about 511.3937526547.

Adding to 133741520 its reverse (25147331), we get a palindrome (158888851).

The spelling of 133741520 in words is "one hundred thirty-three million, seven hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 379 401 440 758 802 880 1516 1604 1895 2005 3032 3208 3790 4010 4169 4411 6064 6416 7580 8020 8338 8822 15160 16040 16676 17644 20845 22055 30320 32080 33352 35288 41690 44110 66704 70576 83380 88220 151979 166760 176440 303958 333520 352880 607916 759895 1215832 1519790 1671769 2431664 3039580 3343538 6079160 6687076 8358845 12158320 13374152 16717690 26748304 33435380 66870760 133741520