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16728740 = 2257192331
BaseRepresentation
bin111111110100…
…001010100100
31011110220111222
4333310022210
513240304430
61354315512
7262122560
oct77641244
934426458
1016728740
119496606
125728b98
133609482
1423166a0
1517069e5
hexff42a4

16728740 has 72 divisors (see below), whose sum is σ = 42501312. Its totient is φ = 5417280.

The previous prime is 16728739. The next prime is 16728749. The reversal of 16728740 is 4782761.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 16728740.

It is not an unprimeable number, because it can be changed into a prime (16728749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50375 + ... + 50705.

It is an arithmetic number, because the mean of its divisors is an integer number (590296).

Almost surely, 216728740 is an apocalyptic number.

16728740 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 16728740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250656).

16728740 is an abundant number, since it is smaller than the sum of its proper divisors (25772572).

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

16728740 is a wasteful number, since it uses less digits than its factorization.

16728740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 16728740 is about 4090.0782388605. The cubic root of 16728740 is about 255.7532004605.

The spelling of 16728740 in words is "sixteen million, seven hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 331 361 380 532 662 665 722 1324 1330 1444 1655 1805 2317 2527 2660 3310 3610 4634 5054 6289 6620 7220 9268 10108 11585 12578 12635 23170 25156 25270 31445 44023 46340 50540 62890 88046 119491 125780 176092 220115 238982 440230 477964 597455 836437 880460 1194910 1672874 2389820 3345748 4182185 8364370 16728740