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16940672 = 27723773
BaseRepresentation
bin100000010011…
…1111010000000
31011212200020022
41000213322000
513314100142
61403033012
7263664500
oct100477200
934780208
1016940672
119620861
12580b768
133681a88
14236da00
1517496d2
hex1027e80

16940672 has 96 divisors (see below), whose sum is σ = 40872420. Its totient is φ = 6967296.

The previous prime is 16940639. The next prime is 16940689. The reversal of 16940672 is 27604961.

It can be written as a sum of positive squares in 2 ways, for example, as 15808576 + 1132096 = 3976^2 + 1064^2 .

It is a super-3 number, since 3×169406723 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232028 + ... + 232100.

Almost surely, 216940672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436210).

16940672 is an abundant number, since it is smaller than the sum of its proper divisors (23931748).

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

16940672 is an equidigital number, since it uses as much as digits as its factorization.

16940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 16940672 is about 4115.9047608029. The cubic root of 16940672 is about 256.8286947552.

The spelling of 16940672 in words is "sixteen million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 73 74 98 112 128 146 148 196 224 259 292 296 392 448 511 518 584 592 784 896 1022 1036 1168 1184 1568 1813 2044 2072 2336 2368 2701 3136 3577 3626 4088 4144 4672 4736 5402 6272 7154 7252 8176 8288 9344 10804 14308 14504 16352 16576 18907 21608 28616 29008 32704 33152 37814 43216 57232 58016 65408 75628 86432 114464 116032 132349 151256 172864 228928 232064 264698 302512 345728 457856 529396 605024 1058792 1210048 2117584 2420096 4235168 8470336 16940672