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133420000 = 25547953
BaseRepresentation
bin1111111001111…
…01001111100000
3100022001102211111
413330331033200
5233123420000
621123353104
73210023410
oct774751740
9308042744
10133420000
116934846a
1238822794
132184535c
1413a10640
15baa6cba
hex7f3d3e0

133420000 has 120 divisors (see below), whose sum is σ = 375517296. Its totient is φ = 45696000.

The previous prime is 133419991. The next prime is 133420003. The reversal of 133420000 is 24331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133420003) 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 19 ways as a sum of consecutive naturals, for example, 139524 + ... + 140476.

Almost surely, 2133420000 is an apocalyptic number.

133420000 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 133420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187758648).

133420000 is an abundant number, since it is smaller than the sum of its proper divisors (242097296).

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

133420000 is an frugal number, since it uses more digits than its factorization.

133420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 133420000 is about 11550.7575509141. The cubic root of 133420000 is about 510.9836200953.

Adding to 133420000 its reverse (24331), we get a palindrome (133444331).

The spelling of 133420000 in words is "one hundred thirty-three million, four hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 953 1000 1120 1250 1400 1750 1906 2000 2500 2800 3500 3812 4000 4375 4765 5000 5600 6671 7000 7624 8750 9530 10000 13342 14000 15248 17500 19060 20000 23825 26684 28000 30496 33355 35000 38120 47650 53368 66710 70000 76240 95300 106736 119125 133420 140000 152480 166775 190600 213472 238250 266840 333550 381200 476500 533680 595625 667100 762400 833875 953000 1067360 1191250 1334200 1667750 1906000 2382500 2668400 3335500 3812000 4169375 4765000 5336800 6671000 8338750 9530000 13342000 16677500 19060000 26684000 33355000 66710000 133420000