Search a number
-
+
16361964 = 22321921259
BaseRepresentation
bin111110011010…
…100111101100
31010210021101200
4332122213230
513142040324
61342405500
7256034343
oct76324754
933707350
1016361964
119265a93
125590890
13350b548
14225cb5a
151682ec9
hexf9a9ec

16361964 has 54 divisors (see below), whose sum is σ = 43685460. Its totient is φ = 5162832.

The previous prime is 16361963. The next prime is 16361977. The reversal of 16361964 is 46916361.

16361964 is a `hidden beast` number, since 1 + 636 + 19 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16361963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12367 + ... + 13625.

It is an arithmetic number, because the mean of its divisors is an integer number (808990).

Almost surely, 216361964 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 16361964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21842730).

16361964 is an abundant number, since it is smaller than the sum of its proper divisors (27323496).

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

16361964 is a wasteful number, since it uses less digits than its factorization.

16361964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1283 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 16361964 is about 4044.9924598199. The cubic root of 16361964 is about 253.8702501390.

It can be divided in two parts, 1636 and 1964, that added together give a square (3600 = 602).

The spelling of 16361964 in words is "sixteen million, three hundred sixty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1259 1444 2166 2518 3249 3777 4332 5036 6498 7554 11331 12996 15108 22662 23921 45324 47842 71763 95684 143526 215289 287052 430578 454499 861156 908998 1363497 1817996 2726994 4090491 5453988 8180982 16361964