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930966813 = 32743401857
BaseRepresentation
bin110111011111010…
…110110100011101
32101212210000101100
4313133112310131
53401311414223
6232213503313
732033041650
oct6737266435
92355700340
10930966813
11438563167
1221b941b39
1311ab4974a
148b8db897
1556ae7043
hex377d6d1d

930966813 has 48 divisors (see below), whose sum is σ = 1578335616. Its totient is φ = 517708800.

The previous prime is 930966749. The next prime is 930966821. The reversal of 930966813 is 318669039.

It is not a de Polignac number, because 930966813 - 26 = 930966749 is a prime.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (930966893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085881 + ... + 1086737.

It is an arithmetic number, because the mean of its divisors is an integer number (32881992).

Almost surely, 2930966813 is an apocalyptic number.

It is an amenable number.

930966813 is a deficient number, since it is larger than the sum of its proper divisors (647368803).

930966813 is a wasteful number, since it uses less digits than its factorization.

930966813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 930966813 is about 30511.7487699411. The cubic root of 930966813 is about 976.4381364660.

The spelling of 930966813 in words is "nine hundred thirty million, nine hundred sixty-six thousand, eight hundred thirteen".

Divisors: 1 3 7 9 21 43 63 129 301 387 401 857 903 1203 2571 2709 2807 3609 5999 7713 8421 17243 17997 25263 36851 51729 53991 110553 120701 155187 257957 331659 343657 362103 773871 1030971 1086309 2321613 2405599 3092913 7216797 14777251 21650391 44331753 103440757 132995259 310322271 930966813