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16530480 = 243452551
BaseRepresentation
bin111111000011…
…110000110000
31011002211120000
4333003300300
513212433410
61350150000
7260335551
oct77036060
934084500
1016530480
11937065a
125652300
13356a165
1422a4328
1516b7dc0
hexfc3c30

16530480 has 100 divisors (see below), whose sum is σ = 57435312. Its totient is φ = 4406400.

The previous prime is 16530463. The next prime is 16530487. The reversal of 16530480 is 8403561.

16530480 is a `hidden beast` number, since 1 + 653 + 0 + 4 + 8 + 0 = 666.

16530480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (16530487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5205 + ... + 7755.

Almost surely, 216530480 is an apocalyptic number.

16530480 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 16530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28717656).

16530480 is an abundant number, since it is smaller than the sum of its proper divisors (40904832).

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

16530480 is a wasteful number, since it uses less digits than its factorization.

16530480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 16530480 is about 4065.7692998989. The cubic root of 16530480 is about 254.7388329541.

The spelling of 16530480 in words is "sixteen million, five hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 2551 3240 5102 6480 7653 10204 12755 15306 20408 22959 25510 30612 38265 40816 45918 51020 61224 68877 76530 91836 102040 114795 122448 137754 153060 183672 204080 206631 229590 275508 306120 344385 367344 413262 459180 551016 612240 688770 826524 918360 1033155 1102032 1377540 1653048 1836720 2066310 2755080 3306096 4132620 5510160 8265240 16530480