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133041200 = 24522314461
BaseRepresentation
bin1111110111000…
…00110000110000
3100021100012012212
413323200300300
5233024304300
621111311252
73203555135
oct773406060
9307305185
10133041200
1169109906
123867b528
1321741b06
141395258c
15ba2e935
hex7ee0c30

133041200 has 60 divisors (see below), whose sum is σ = 333551568. Its totient is φ = 50899200.

The previous prime is 133041199. The next prime is 133041221. The reversal of 133041200 is 2140331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1970 + ... + 16430.

Almost surely, 2133041200 is an apocalyptic number.

133041200 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 133041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166775784).

133041200 is an abundant number, since it is smaller than the sum of its proper divisors (200510368).

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

133041200 is a wasteful number, since it uses less digits than its factorization.

133041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14502 (or 14491 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 133041200 is about 11534.3487028961. The cubic root of 133041200 is about 510.4995745559.

Adding to 133041200 its reverse (2140331), we get a palindrome (135181531).

The spelling of 133041200 in words is "one hundred thirty-three million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 14461 28922 57844 72305 115688 144610 231376 289220 332603 361525 578440 665206 723050 1156880 1330412 1446100 1663015 2660824 2892200 3326030 5321648 5784400 6652060 8315075 13304120 16630150 26608240 33260300 66520600 133041200