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16681088 = 27194
BaseRepresentation
bin111111101000…
…100010000000
31011101111011002
4333220202000
513232243323
61353311132
7261533624
oct77504200
934344132
1016681088
119463826
1257054a8
1335c0888
142303184
1516e7828
hexfe8880

16681088 has 40 divisors (see below), whose sum is σ = 35078055. Its totient is φ = 7901568.

The previous prime is 16681081. The next prime is 16681103. The reversal of 16681088 is 88018661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 8340544 + 8340544 = 2888^2 + 2888^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2888.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16681081) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 877943 + ... + 877961.

Almost surely, 216681088 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 16681088

16681088 is an abundant number, since it is smaller than the sum of its proper divisors (18396967).

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

16681088 is an frugal number, since it uses more digits than its factorization.

16681088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 16681088 is about 4084.2487681335. The cubic root of 16681088 is about 255.5101309167.

16681088 divided by its sum of digits (38) gives a cube (438976 = 763).

Multiplying 16681088 by its product of nonzero digits (18432), we get a square (307465814016 = 5544962).

The spelling of 16681088 in words is "sixteen million, six hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 361 608 722 1216 1444 2432 2888 5776 6859 11552 13718 23104 27436 46208 54872 109744 130321 219488 260642 438976 521284 877952 1042568 2085136 4170272 8340544 16681088