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16945740 = 2233574483
BaseRepresentation
bin100000010100…
…1001001001100
31011212221012000
41000221021030
513314230430
61403112300
7264015330
oct100511114
934787160
1016945740
119624649
125812690
133684186
1423717c0
15174ae60
hex102924c

16945740 has 96 divisors (see below), whose sum is σ = 60264960. Its totient is φ = 3872448.

The previous prime is 16945729. The next prime is 16945759. The reversal of 16945740 is 4754961.

16945740 is a `hidden beast` number, since 169 + 457 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 = 16945695 and 16945704.

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, 1539 + ... + 6021.

It is an arithmetic number, because the mean of its divisors is an integer number (627760).

Almost surely, 216945740 is an apocalyptic number.

16945740 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 16945740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132480).

16945740 is an abundant number, since it is smaller than the sum of its proper divisors (43319220).

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

16945740 is a wasteful number, since it uses less digits than its factorization.

16945740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 16945740 is about 4116.5203752684. The cubic root of 16945740 is about 256.8543033035.

The spelling of 16945740 in words is "sixteen million, nine hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 4483 8966 13449 17932 22415 26898 31381 40347 44830 53796 62762 67245 80694 89660 94143 121041 125524 134490 156905 161388 188286 201735 242082 268980 282429 313810 376572 403470 470715 484164 564858 605205 627620 806940 847287 941430 1129716 1210410 1412145 1694574 1882860 2420820 2824290 3389148 4236435 5648580 8472870 16945740