Search a number
-
+
96132168 = 233211121379
BaseRepresentation
bin1011011101011…
…01110001001000
320200220000112200
411232231301020
5144102212133
613312240200
72245052466
oct556556110
9220800480
1096132168
114a29a580
1228240060
1316bbb152
14caa5836
15868d913
hex5badc48

96132168 has 48 divisors (see below), whose sum is σ = 284029200. Its totient is φ = 29130720.

The previous prime is 96132143. The next prime is 96132221. The reversal of 96132168 is 86123169.

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

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 11 ways as a sum of consecutive naturals, for example, 59898 + ... + 61481.

It is an arithmetic number, because the mean of its divisors is an integer number (5917275).

Almost surely, 296132168 is an apocalyptic number.

It is an amenable number.

96132168 is an abundant number, since it is smaller than the sum of its proper divisors (187897032).

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

96132168 is a wasteful number, since it uses less digits than its factorization.

96132168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121402 (or 121395 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 96132168 is about 9804.7013213050. The cubic root of 96132168 is about 458.0957320400.

It can be divided in two parts, 9613 and 2168, that added together give a triangular number (11781 = T153).

The spelling of 96132168 in words is "ninety-six million, one hundred thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 121379 242758 364137 485516 728274 971032 1092411 1335169 1456548 2184822 2670338 2913096 4005507 4369644 5340676 8011014 8739288 10681352 12016521 16022028 24033042 32044056 48066084 96132168