Search a number
-
+
125333532 = 223223229661
BaseRepresentation
bin1110111100001…
…11000000011100
322201211121021200
413132013000130
5224041133112
620234155500
73051213612
oct736070034
9281747250
10125333532
1164824a35
1235b82b90
131cc7376c
14129076b2
15b00acdc
hex778701c

125333532 has 72 divisors (see below), whose sum is σ = 332535840. Its totient is φ = 39726720.

The previous prime is 125333513. The next prime is 125333543. The reversal of 125333532 is 235333521.

125333532 is a `hidden beast` number, since 125 + 3 + 3 + 3 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125333496 and 125333505.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 189282 + ... + 189942.

Almost surely, 2125333532 is an apocalyptic number.

125333532 is a gapful number since it is divisible by the number (12) 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 125333532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166267920).

125333532 is an abundant number, since it is smaller than the sum of its proper divisors (207202308).

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

125333532 is a wasteful number, since it uses less digits than its factorization.

125333532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 918 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 125333532 is about 11195.2459553151. The cubic root of 125333532 is about 500.4443143858. Note that the first 3 decimals are identical.

The spelling of 125333532 in words is "one hundred twenty-five million, three hundred thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 229 276 414 458 661 687 828 916 1322 1374 1983 2061 2644 2748 3966 4122 5267 5949 7932 8244 10534 11898 15203 15801 21068 23796 30406 31602 45609 47403 60812 63204 91218 94806 136827 151369 182436 189612 273654 302738 454107 547308 605476 908214 1362321 1816428 2724642 3481487 5449284 6962974 10444461 13925948 20888922 31333383 41777844 62666766 125333532