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993599106 = 231313473643
BaseRepresentation
bin111011001110010…
…001111010000010
32120020122001201220
4323032101322002
54013330132411
6242332135510
733423311253
oct7316217202
92506561656
10993599106
1146a951795
12238907596
1312ab08886
1495d62b2a
155c369b06
hex3b391e82

993599106 has 32 divisors (see below), whose sum is σ = 2008689408. Its totient is φ = 327634320.

The previous prime is 993599099. The next prime is 993599141. The reversal of 993599106 is 601995399.

993599106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270921 + ... + 274563.

It is an arithmetic number, because the mean of its divisors is an integer number (62771544).

Almost surely, 2993599106 is an apocalyptic number.

993599106 is an abundant number, since it is smaller than the sum of its proper divisors (1015090302).

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

993599106 is a wasteful number, since it uses less digits than its factorization.

993599106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126.

The product of its (nonzero) digits is 590490, while the sum is 51.

The square root of 993599106 is about 31521.4071069170. The cubic root of 993599106 is about 997.8618000261.

The spelling of 993599106 in words is "nine hundred ninety-three million, five hundred ninety-nine thousand, one hundred six".

Divisors: 1 2 3 6 131 262 347 393 694 786 1041 2082 3643 7286 10929 21858 45457 90914 136371 272742 477233 954466 1264121 1431699 2528242 2863398 3792363 7584726 165599851 331199702 496799553 993599106