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16681616 = 247473169
BaseRepresentation
bin111111101000…
…101010010000
31011101111212122
4333220222100
513232302431
61353313412
7261535310
oct77505220
934344778
1016681616
119464166
125705868
1335c0ba3
142303440
1516e7a7b
hexfe8a90

16681616 has 40 divisors (see below), whose sum is σ = 37735680. Its totient is φ = 6994944.

The previous prime is 16681597. The next prime is 16681633. The reversal of 16681616 is 61618661.

16681616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3680 + ... + 6848.

It is an arithmetic number, because the mean of its divisors is an integer number (943392).

Almost surely, 216681616 is an apocalyptic number.

16681616 is a gapful number since it is divisible by the number (16) 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 16681616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18867840).

16681616 is an abundant number, since it is smaller than the sum of its proper divisors (21054064).

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

16681616 is a wasteful number, since it uses less digits than its factorization.

16681616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3225 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 16681616 is about 4084.3134061920. The cubic root of 16681616 is about 255.5128267426.

The spelling of 16681616 in words is "sixteen million, six hundred eighty-one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 3169 5264 6338 12676 22183 25352 44366 50704 88732 148943 177464 297886 354928 595772 1042601 1191544 2085202 2383088 4170404 8340808 16681616