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133420440 = 233510710391
BaseRepresentation
bin1111111001111…
…01010110011000
3100022001110102210
413330331112120
5233123423230
621123355120
73210024606
oct774752630
9308043383
10133420440
116934882a
1238822aa0
132184560a
1413a10876
15baa6eb0
hex7f3d598

133420440 has 64 divisors (see below), whose sum is σ = 404040960. Its totient is φ = 35242880.

The previous prime is 133420439. The next prime is 133420457. The reversal of 133420440 is 44024331.

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 15 ways as a sum of consecutive naturals, for example, 7645 + ... + 18035.

It is an arithmetic number, because the mean of its divisors is an integer number (6313140).

Almost surely, 2133420440 is an apocalyptic number.

133420440 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 133420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202020480).

133420440 is an abundant number, since it is smaller than the sum of its proper divisors (270620520).

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

133420440 is a wasteful number, since it uses less digits than its factorization.

133420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 133420440 is about 11550.7765972683. The cubic root of 133420440 is about 510.9841818115.

Adding to 133420440 its reverse (44024331), we get a palindrome (177444771).

The spelling of 133420440 in words is "one hundred thirty-three million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 10391 12840 20782 31173 41564 51955 62346 83128 103910 124692 155865 207820 249384 311730 415640 623460 1111837 1246920 2223674 3335511 4447348 5559185 6671022 8894696 11118370 13342044 16677555 22236740 26684088 33355110 44473480 66710220 133420440