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96666336 = 25321325819
BaseRepresentation
bin1011100001100…
…00001011100000
320201220011021200
411300300023200
5144221310321
613331521200
72252436024
oct560601340
9221804250
1096666336
114a624938
1228459200
1317047320
14cba4384
158746d26
hex5c302e0

96666336 has 72 divisors (see below), whose sum is σ = 296052120. Its totient is φ = 29742336.

The previous prime is 96666331. The next prime is 96666337. The reversal of 96666336 is 63366669.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 96666291 and 96666300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96666331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9166 + ... + 16653.

It is an arithmetic number, because the mean of its divisors is an integer number (4111835).

Almost surely, 296666336 is an apocalyptic number.

96666336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96666336 is an abundant number, since it is smaller than the sum of its proper divisors (199385784).

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

96666336 is a wasteful number, since it uses less digits than its factorization.

96666336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25848 (or 25837 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 96666336 is about 9831.9039865125. The cubic root of 96666336 is about 458.9426502172.

The spelling of 96666336 in words is "ninety-six million, six hundred sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 25819 51638 77457 103276 154914 206552 232371 309828 335647 413104 464742 619656 671294 826208 929484 1006941 1239312 1342588 1858968 2013882 2478624 2685176 3020823 3717936 4027764 5370352 6041646 7435872 8055528 10740704 12083292 16111056 24166584 32222112 48333168 96666336