Search a number
-
+
196692496 = 247111312281
BaseRepresentation
bin10111011100101…
…00101000010000
3111201010000101021
423232110220100
5400323124441
631303445224
74605600340
oct1356245020
9451100337
10196692496
11a1033a90
1255a56814
13319999c0
141c1a0d20
15124043d1
hexbb94a10

196692496 has 80 divisors (see below), whose sum is σ = 511717248. Its totient is φ = 70732800.

The previous prime is 196692493. The next prime is 196692521. The reversal of 196692496 is 694296691.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (196692491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9876 + ... + 22156.

Almost surely, 2196692496 is an apocalyptic number.

196692496 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 196692496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255858624).

196692496 is an abundant number, since it is smaller than the sum of its proper divisors (315024752).

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

196692496 is a wasteful number, since it uses less digits than its factorization.

196692496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320 (or 12314 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 52.

The square root of 196692496 is about 14024.7101930842. The cubic root of 196692496 is about 581.5618782433.

The spelling of 196692496 in words is "one hundred ninety-six million, six hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 12281 16016 24562 49124 85967 98248 135091 159653 171934 196496 270182 319306 343868 540364 638612 687736 945637 1080728 1117571 1277224 1375472 1756183 1891274 2161456 2235142 2554448 3512366 3782548 4470284 7024732 7565096 8940568 12293281 14049464 15130192 17881136 24586562 28098928 49173124 98346248 196692496