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196065216 = 26321720023
BaseRepresentation
bin10111010111110…
…11011111000000
3111122221010220200
423223323133000
5400143041331
631242205200
74600345464
oct1353733700
9448833820
10196065216
11a0745776
12557b3800
133180a329
141c07a4a4
151232d5e6
hexbafb7c0

196065216 has 84 divisors (see below), whose sum is σ = 595073232. Its totient is φ = 61507584.

The previous prime is 196065187. The next prime is 196065217. The reversal of 196065216 is 612560691.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196065217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 220 + ... + 19803.

Almost surely, 2196065216 is an apocalyptic number.

196065216 is a gapful number since it is divisible by the number (16) 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 196065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297536616).

196065216 is an abundant number, since it is smaller than the sum of its proper divisors (399008016).

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

196065216 is a wasteful number, since it uses less digits than its factorization.

196065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20058 (or 20045 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 196065216 is about 14002.3289491427. The cubic root of 196065216 is about 580.9429923635.

It can be divided in two parts, 1960 and 65216, that added together give a palindrome (67176).

The spelling of 196065216 in words is "one hundred ninety-six million, sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 20023 40046 60069 80092 120138 160184 180207 240276 320368 340391 360414 480552 640736 680782 720828 961104 1021173 1281472 1361564 1441656 1922208 2042346 2723128 2883312 3063519 3844416 4084692 5446256 5766624 6127038 8169384 10892512 11533248 12254076 16338768 21785024 24508152 32677536 49016304 65355072 98032608 196065216