Search a number
-
+
196993296 = 243616889
BaseRepresentation
bin10111011110111…
…10000100010000
3111201200022000000
423233132010100
5400412241141
631314130000
74611262323
oct1357360420
9451608000
10196993296
11a1219a85
1255b80900
1331a738a6
141c23c7ba
15124635b6
hexbbde110

196993296 has 70 divisors (see below), whose sum is σ = 572283870. Its totient is φ = 65660544.

The previous prime is 196993289. The next prime is 196993301. The reversal of 196993296 is 692399691.

196993296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 116640000 + 80353296 = 10800^2 + 8964^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3220 + ... + 20108.

Almost surely, 2196993296 is an apocalyptic number.

196993296 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 196993296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286141935).

196993296 is an abundant number, since it is smaller than the sum of its proper divisors (375290574).

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

196993296 is an equidigital number, since it uses as much as digits as its factorization.

196993296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16915 (or 16894 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 196993296 is about 14035.4300254748. The cubic root of 196993296 is about 581.8581863000.

The spelling of 196993296 in words is "one hundred ninety-six million, nine hundred ninety-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 16889 33778 50667 67556 101334 135112 152001 202668 270224 304002 405336 456003 608004 810672 912006 1216008 1368009 1824012 2432016 2736018 3648024 4104027 5472036 7296048 8208054 10944072 12312081 16416108 21888144 24624162 32832216 49248324 65664432 98496648 196993296