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16974984 = 23313411327
BaseRepresentation
bin100000011000…
…0010010001000
31011221102022010
41000300102020
513321144414
61403455520
7264166515
oct100602210
934842263
1016974984
119644614
1258275a0
133694590
14237c30c
151754959
hex1030488

16974984 has 64 divisors (see below), whose sum is σ = 46851840. Its totient is φ = 5091840.

The previous prime is 16974953. The next prime is 16975001. The reversal of 16974984 is 48947961.

It is a cake number, because a cake can be divided into 16974984 parts by 467 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12129 + ... + 13455.

It is an arithmetic number, because the mean of its divisors is an integer number (732060).

Almost surely, 216974984 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 16974984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425920).

16974984 is an abundant number, since it is smaller than the sum of its proper divisors (29876856).

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

16974984 is a wasteful number, since it uses less digits than its factorization.

16974984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1386 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 16974984 is about 4120.0708731768. The cubic root of 16974984 is about 257.0019732673.

The spelling of 16974984 in words is "sixteen million, nine hundred seventy-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1327 1599 2132 2654 3198 3981 4264 5308 6396 7962 10616 12792 15924 17251 31848 34502 51753 54407 69004 103506 108814 138008 163221 207012 217628 326442 414024 435256 652884 707291 1305768 1414582 2121873 2829164 4243746 5658328 8487492 16974984