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16827993 = 35713761
BaseRepresentation
bin100000000110…
…0011001011001
31011122221200000
41000030121121
513301443433
61400403213
7263015130
oct100143131
934587600
1016827993
119554136
125776509
1336426c0
142340917
151726113
hex100c659

16827993 has 48 divisors (see below), whose sum is σ = 31065216. Its totient is φ = 8864640.

The previous prime is 16827991. The next prime is 16828003. The reversal of 16827993 is 39972861.

It is not a de Polignac number, because 16827993 - 21 = 16827991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16827991) 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, 21733 + ... + 22493.

It is an arithmetic number, because the mean of its divisors is an integer number (647192).

Almost surely, 216827993 is an apocalyptic number.

16827993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16827993 is a deficient number, since it is larger than the sum of its proper divisors (14237223).

16827993 is an equidigital number, since it uses as much as digits as its factorization.

16827993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 16827993 is about 4102.1936814344. The cubic root of 16827993 is about 256.2580050642.

The spelling of 16827993 in words is "sixteen million, eight hundred twenty-seven thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 761 819 1053 1701 2283 2457 3159 5327 6849 7371 9893 15981 20547 22113 29679 47943 61641 69251 89037 143829 184923 207753 267111 431487 623259 801333 1294461 1869777 2403999 5609331 16827993