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16980936 = 2337611657
BaseRepresentation
bin100000011000…
…1101111001000
31011221201110120
41000301233020
513321342221
61403543240
7264223050
oct100615710
934851416
1016980936
119649035
12582ab20
1336971bb
142380560
1517565c6
hex1031bc8

16980936 has 64 divisors (see below), whose sum is σ = 49342080. Its totient is φ = 4769280.

The previous prime is 16980913. The next prime is 16980937. The reversal of 16980936 is 63908961.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is not an unprimeable number, because it can be changed into a prime (16980937) 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, 9420 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (770970).

Almost surely, 216980936 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 16980936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24671040).

16980936 is an abundant number, since it is smaller than the sum of its proper divisors (32361144).

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

16980936 is a wasteful number, since it uses less digits than its factorization.

16980936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 16980936 is about 4120.7931275423. The cubic root of 16980936 is about 257.0320076009.

The spelling of 16980936 in words is "sixteen million, nine hundred eighty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1657 1708 2562 3314 3416 4971 5124 6628 9942 10248 11599 13256 19884 23198 34797 39768 46396 69594 92792 101077 139188 202154 278376 303231 404308 606462 707539 808616 1212924 1415078 2122617 2425848 2830156 4245234 5660312 8490468 16980936