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993680431 = 231071992029
BaseRepresentation
bin111011001110100…
…101110000101111
32120020210012021221
4323032211300233
54013340233211
6242334004211
733424100332
oct7316456057
92506705257
10993680431
1146a9a78a7
12238946667
1312ab368b3
1495d84619
155c383c71
hex3b3a5c2f

993680431 has 16 divisors (see below), whose sum is σ = 1052352000. Its totient is φ = 936400608.

The previous prime is 993680381. The next prime is 993680503. The reversal of 993680431 is 134086399.

It is a cyclic number.

It is not a de Polignac number, because 993680431 - 29 = 993679919 is a prime.

It is a super-2 number, since 2×9936804312 = 1974801597904691522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993680531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488725 + ... + 490753.

It is an arithmetic number, because the mean of its divisors is an integer number (65772000).

Almost surely, 2993680431 is an apocalyptic number.

993680431 is a deficient number, since it is larger than the sum of its proper divisors (58671569).

993680431 is a wasteful number, since it uses less digits than its factorization.

993680431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358.

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 993680431 is about 31522.6970768683. The cubic root of 993680431 is about 997.8890239156.

The spelling of 993680431 in words is "nine hundred ninety-three million, six hundred eighty thousand, four hundred thirty-one".

Divisors: 1 23 107 199 2029 2461 4577 21293 46667 217103 403771 489739 4993369 9286733 43203497 993680431