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16981936 = 242936599
BaseRepresentation
bin100000011000…
…1111110110000
31011221202211121
41000301332300
513321410221
61403552024
7264226006
oct100617660
934852747
1016981936
119649864
12582b614
1336977aa
142380a76
151756a41
hex1031fb0

16981936 has 20 divisors (see below), whose sum is σ = 34038000. Its totient is φ = 8197952.

The previous prime is 16981933. The next prime is 16981957. The reversal of 16981936 is 63918961.

It is a junction number, because it is equal to n+sod(n) for n = 16981892 and 16981901.

It is not an unprimeable number, because it can be changed into a prime (16981931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17836 + ... + 18763.

It is an arithmetic number, because the mean of its divisors is an integer number (1701900).

Almost surely, 216981936 is an apocalyptic number.

16981936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16981936 is an abundant number, since it is smaller than the sum of its proper divisors (17056064).

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

16981936 is a wasteful number, since it uses less digits than its factorization.

16981936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36636 (or 36630 counting only the distinct ones).

The product of its digits is 69984, while the sum is 43.

The square root of 16981936 is about 4120.9144616214. The cubic root of 16981936 is about 257.0370530032.

The spelling of 16981936 in words is "sixteen million, nine hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 36599 73198 146396 292792 585584 1061371 2122742 4245484 8490968 16981936