Search a number
-
+
16198936 = 23132941131
BaseRepresentation
bin111101110010…
…110100011000
31010110222202121
4331302310120
513121331221
61335111024
7254455135
oct75626430
933428677
1016198936
119164556
125512474
133482290
14221958c
15164ea41
hexf72d18

16198936 has 64 divisors (see below), whose sum is σ = 34927200. Its totient is φ = 6988800.

The previous prime is 16198927. The next prime is 16198951. The reversal of 16198936 is 63989161.

Its product of digits (69984) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 16198892 and 16198901.

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 15 ways as a sum of consecutive naturals, for example, 123591 + ... + 123721.

Almost surely, 216198936 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 16198936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463600).

16198936 is an abundant number, since it is smaller than the sum of its proper divisors (18728264).

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

16198936 is a wasteful number, since it uses less digits than its factorization.

16198936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its digits is 69984, while the sum is 43.

The square root of 16198936 is about 4024.7901808666. The cubic root of 16198936 is about 253.0242598868.

The spelling of 16198936 in words is "sixteen million, one hundred ninety-eight thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 26 29 41 52 58 82 104 116 131 164 232 262 328 377 524 533 754 1048 1066 1189 1508 1703 2132 2378 3016 3406 3799 4264 4756 5371 6812 7598 9512 10742 13624 15196 15457 21484 30392 30914 42968 49387 61828 69823 98774 123656 139646 155759 197548 279292 311518 395096 558584 623036 1246072 2024867 4049734 8099468 16198936