Search a number
-
+
16125952 = 21231127
BaseRepresentation
bin111101100001…
…000000000000
31010100021122111
4331201000000
513112012302
61333345104
7254032303
oct75410000
933307574
1016125952
119114737
125498194
133457cab
1421dab3a
1516380d7
hexf61000

16125952 has 52 divisors (see below), whose sum is σ = 33550336. Its totient is φ = 7741440.

The previous prime is 16125887. The next prime is 16125953. The reversal of 16125952 is 25952161.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (16125953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126913 + ... + 127039.

Almost surely, 216125952 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 16125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16775168).

16125952 is an abundant number, since it is smaller than the sum of its proper divisors (17424384).

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

16125952 is an equidigital number, since it uses as much as digits as its factorization.

16125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its digits is 5400, while the sum is 31.

The square root of 16125952 is about 4015.7131371651. The cubic root of 16125952 is about 252.6436890881.

The spelling of 16125952 in words is "sixteen million, one hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 256 496 508 512 992 1016 1024 1984 2032 2048 3937 3968 4064 4096 7874 7936 8128 15748 15872 16256 31496 31744 32512 62992 63488 65024 125984 126976 130048 251968 260096 503936 520192 1007872 2015744 4031488 8062976 16125952