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16934940 = 22335112851
BaseRepresentation
bin100000010011…
…0100000011100
31011212101101000
41000212200130
513313404230
61402550300
7263642001
oct100464034
934771330
1016934940
119617520
125808390
13367c299
14236b8a8
151747b60
hex102681c

16934940 has 96 divisors (see below), whose sum is σ = 57496320. Its totient is φ = 4104000.

The previous prime is 16934917. The next prime is 16934963. The reversal of 16934940 is 4943961.

16934940 is a `hidden beast` number, since 169 + 3 + 494 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16934917) and next prime (16934963).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16934895 and 16934904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4515 + ... + 7365.

It is an arithmetic number, because the mean of its divisors is an integer number (598920).

Almost surely, 216934940 is an apocalyptic number.

16934940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16934940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748160).

16934940 is an abundant number, since it is smaller than the sum of its proper divisors (40561380).

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

16934940 is a wasteful number, since it uses less digits than its factorization.

16934940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 16934940 is about 4115.2083786851. The cubic root of 16934940 is about 256.7997248665.

The spelling of 16934940 in words is "sixteen million, nine hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2851 2970 5702 5940 8553 11404 14255 17106 25659 28510 31361 34212 42765 51318 57020 62722 76977 85530 94083 102636 125444 128295 153954 156805 171060 188166 256590 282249 307908 313610 376332 384885 470415 513180 564498 627220 769770 846747 940830 1128996 1411245 1539540 1693494 1881660 2822490 3386988 4233735 5644980 8467470 16934940