[go: up one dir, main page]

Search a number
-
+
1196316 = 2233111953
BaseRepresentation
bin100100100000100011100
32020210001000
410210010130
5301240231
641350300
713111542
oct4440434
92223030
101196316
117478a0
12498390
1332b6a4
14231d92
151896e6
hex12411c

1196316 has 96 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 336960.

The previous prime is 1196309. The next prime is 1196323. The reversal of 1196316 is 6136911.

It is an interprime number because it is at equal distance from previous prime (1196309) and next prime (1196323).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1196316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22546 + ... + 22598.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

21196316 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 1196316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1196316 is an abundant number, since it is smaller than the sum of its proper divisors (2432484).

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

1196316 is a wasteful number, since it uses less digits than its factorization.

1196316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1196316 is about 1093.7623142164. The cubic root of 1196316 is about 106.1570000517.

The spelling of 1196316 in words is "one million, one hundred ninety-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 53 54 57 66 76 99 106 108 114 132 159 171 198 209 212 228 297 318 342 396 418 477 513 583 594 627 636 684 836 954 1007 1026 1166 1188 1254 1431 1749 1881 1908 2014 2052 2332 2508 2862 3021 3498 3762 4028 5247 5643 5724 6042 6996 7524 9063 10494 11077 11286 12084 15741 18126 20988 22154 22572 27189 31482 33231 36252 44308 54378 62964 66462 99693 108756 132924 199386 299079 398772 598158 1196316