Search a number
-
+
196387136 = 2611713929
BaseRepresentation
bin10111011010010…
…10000101000000
3111200112111111122
423231022011000
5400233342021
631253131412
74603156151
oct1355120500
9450474448
10196387136
11a0945620
1255929b68
13318c0a0a
141c121928
1512393bab
hexbb4a140

196387136 has 56 divisors (see below), whose sum is σ = 431231040. Its totient is φ = 87987200.

The previous prime is 196387109. The next prime is 196387141. The reversal of 196387136 is 631783691.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48020 + ... + 51948.

Almost surely, 2196387136 is an apocalyptic number.

196387136 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 196387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215615520).

196387136 is an abundant number, since it is smaller than the sum of its proper divisors (234843904).

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

196387136 is a wasteful number, since it uses less digits than its factorization.

196387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4023 (or 4013 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 196387136 is about 14013.8194650852. The cubic root of 196387136 is about 581.2607691226.

The spelling of 196387136 in words is "one hundred ninety-six million, three hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 284 352 568 704 781 1136 1562 2272 3124 3929 4544 6248 7858 12496 15716 24992 31432 43219 49984 62864 86438 125728 172876 251456 278959 345752 557918 691504 1115836 1383008 2231672 2766016 3068549 4463344 6137098 8926688 12274196 17853376 24548392 49096784 98193568 196387136