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16997376 = 210311503
BaseRepresentation
bin100000011010…
…1110000000000
31011222120000110
41000311300000
513322404001
61404151320
7264322014
oct100656000
934876013
1016997376
11965a420
125838540
1336a1826
142386544
15175b3d6
hex1035c00

16997376 has 88 divisors (see below), whose sum is σ = 49521024. Its totient is φ = 5140480.

The previous prime is 16997371. The next prime is 16997377. The reversal of 16997376 is 67379961.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16997371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33541 + ... + 34043.

Almost surely, 216997376 is an apocalyptic number.

16997376 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 16997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24760512).

16997376 is an abundant number, since it is smaller than the sum of its proper divisors (32523648).

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

16997376 is a wasteful number, since it uses less digits than its factorization.

16997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 519 counting only the distinct ones).

The product of its digits is 428652, while the sum is 48.

The square root of 16997376 is about 4122.7874065976. The cubic root of 16997376 is about 257.1149288892.

The spelling of 16997376 in words is "sixteen million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 503 512 528 704 768 1006 1024 1056 1408 1509 1536 2012 2112 2816 3018 3072 4024 4224 5533 5632 6036 8048 8448 11066 11264 12072 16096 16599 16896 22132 24144 32192 33198 33792 44264 48288 64384 66396 88528 96576 128768 132792 177056 193152 257536 265584 354112 386304 515072 531168 708224 772608 1062336 1416448 1545216 2124672 2832896 4249344 5665792 8498688 16997376