Search a number
-
+
133557032 = 23717532647
BaseRepresentation
bin1111111010111…
…10101100101000
3100022022101210202
413331132230220
5233142311112
621130331332
73211134050
oct775365450
9308271722
10133557032
1169431414
1238889b48
132189283b
1413a48560
15bad26c2
hex7f5eb28

133557032 has 64 divisors (see below), whose sum is σ = 308862720. Its totient is φ = 52835328.

The previous prime is 133557029. The next prime is 133557041. The reversal of 133557032 is 230755331.

It is a junction number, because it is equal to n+sod(n) for n = 133556986 and 133557004.

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, 49133 + ... + 51779.

It is an arithmetic number, because the mean of its divisors is an integer number (4825980).

Almost surely, 2133557032 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 133557032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154431360).

133557032 is an abundant number, since it is smaller than the sum of its proper divisors (175305688).

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

133557032 is a wasteful number, since it uses less digits than its factorization.

133557032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 29.

The square root of 133557032 is about 11556.6877607730. The cubic root of 133557032 is about 511.1584992959.

The spelling of 133557032 in words is "one hundred thirty-three million, five hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 212 238 371 424 476 742 901 952 1484 1802 2647 2968 3604 5294 6307 7208 10588 12614 18529 21176 25228 37058 44999 50456 74116 89998 140291 148232 179996 280582 314993 359992 561164 629986 982037 1122328 1259972 1964074 2384947 2519944 3928148 4769894 7856296 9539788 16694629 19079576 33389258 66778516 133557032