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16680048 = 2437114513
BaseRepresentation
bin111111101000…
…010001110000
31011101102201120
4333220101300
513232230143
61353302240
7261530610
oct77502160
934342646
1016680048
119462a70
125704980
1335c0268
142302a40
1516e7383
hexfe8470

16680048 has 80 divisors (see below), whose sum is σ = 53734656. Its totient is φ = 4331520.

The previous prime is 16680047. The next prime is 16680061. The reversal of 16680048 is 84008661.

16680048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16680047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440 + ... + 5952.

Almost surely, 216680048 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 16680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26867328).

16680048 is an abundant number, since it is smaller than the sum of its proper divisors (37054608).

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

16680048 is a wasteful number, since it uses less digits than its factorization.

16680048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 16680048 is about 4084.1214477535. The cubic root of 16680048 is about 255.5048207903.

The spelling of 16680048 in words is "sixteen million, six hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 4513 9026 13539 18052 27078 31591 36104 49643 54156 63182 72208 94773 99286 108312 126364 148929 189546 198572 216624 252728 297858 347501 379092 397144 505456 595716 695002 758184 794288 1042503 1191432 1390004 1516368 2085006 2382864 2780008 4170012 5560016 8340024 16680048