Search a number
-
+
133040432 = 24719101619
BaseRepresentation
bin1111110111000…
…00100100110000
3100021100011011102
413323200210300
5233024243212
621111303532
73203552660
oct773404460
9307304142
10133040432
1169109278
123867aba8
1321741665
14139521a0
15ba2e5c2
hex7ee0930

133040432 has 80 divisors (see below), whose sum is σ = 313670400. Its totient is φ = 53395200.

The previous prime is 133040423. The next prime is 133040471. The reversal of 133040432 is 234040331.

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 15 ways as a sum of consecutive naturals, for example, 214619 + ... + 215237.

It is an arithmetic number, because the mean of its divisors is an integer number (3920880).

Almost surely, 2133040432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156835200).

133040432 is an abundant number, since it is smaller than the sum of its proper divisors (180629968).

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

133040432 is a wasteful number, since it uses less digits than its factorization.

133040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 133040432 is about 11534.3154109813. The cubic root of 133040432 is about 510.4985922426.

Adding to 133040432 its reverse (234040331), we get a palindrome (367080763).

The spelling of 133040432 in words is "one hundred thirty-three million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 101 112 133 152 202 266 304 404 532 619 707 808 1064 1238 1414 1616 1919 2128 2476 2828 3838 4333 4952 5656 7676 8666 9904 11312 11761 13433 15352 17332 23522 26866 30704 34664 47044 53732 62519 69328 82327 94088 107464 125038 164654 188176 214928 250076 329308 437633 500152 658616 875266 1000304 1187861 1317232 1750532 2375722 3501064 4751444 7002128 8315027 9502888 16630054 19005776 33260108 66520216 133040432