Search a number
-
+
96786732 = 223741157179
BaseRepresentation
bin1011100010011…
…01100100101100
320202010021102210
411301031210230
5144234133412
613334250420
72253450030
oct561154454
9222107383
1096786732
114a6a7339
12284b6a10
131708a073
14cbd61c0
15876c83c
hex5c4d92c

96786732 has 96 divisors (see below), whose sum is σ = 267563520. Its totient is φ = 26657280.

The previous prime is 96786721. The next prime is 96786733. The reversal of 96786732 is 23768769.

It is not an unprimeable number, because it can be changed into a prime (96786733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540619 + ... + 540797.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 296786732 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 96786732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133781760).

96786732 is an abundant number, since it is smaller than the sum of its proper divisors (170776788).

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

96786732 is a wasteful number, since it uses less digits than its factorization.

96786732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 96786732 is about 9838.0248017577. The cubic root of 96786732 is about 459.1331058189.

The spelling of 96786732 in words is "ninety-six million, seven hundred eighty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 157 164 179 246 287 314 358 471 492 537 574 628 716 861 942 1074 1099 1148 1253 1722 1884 2148 2198 2506 3297 3444 3759 4396 5012 6437 6594 7339 7518 12874 13188 14678 15036 19311 22017 25748 28103 29356 38622 44034 45059 51373 56206 77244 84309 88068 90118 102746 112412 135177 154119 168618 180236 196721 205492 270354 308238 337236 393442 540708 590163 616476 786884 1152223 1180326 2304446 2360652 3456669 4608892 6913338 8065561 13826676 16131122 24196683 32262244 48393366 96786732