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16945376 = 2572101107
BaseRepresentation
bin100000010100…
…1000011100000
31011212220200112
41000221003200
513314223001
61403110452
7264014300
oct100510340
934786615
1016945376
119624348
125812428
133683c66
142371600
15174acbb
hex10290e0

16945376 has 72 divisors (see below), whose sum is σ = 39558456. Its totient is φ = 7123200.

The previous prime is 16945361. The next prime is 16945387. The reversal of 16945376 is 67354961.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 158315 + ... + 158421.

It is an arithmetic number, because the mean of its divisors is an integer number (549423).

Almost surely, 216945376 is an apocalyptic number.

16945376 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 16945376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779228).

16945376 is an abundant number, since it is smaller than the sum of its proper divisors (22613080).

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

16945376 is a wasteful number, since it uses less digits than its factorization.

16945376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 16945376 is about 4116.4761629335. The cubic root of 16945376 is about 256.8524641857.

The spelling of 16945376 in words is "sixteen million, nine hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 107 112 196 202 214 224 392 404 428 707 749 784 808 856 1414 1498 1568 1616 1712 2828 2996 3232 3424 4949 5243 5656 5992 9898 10486 10807 11312 11984 19796 20972 21614 22624 23968 39592 41944 43228 75649 79184 83888 86456 151298 158368 167776 172912 302596 345824 529543 605192 1059086 1210384 2118172 2420768 4236344 8472688 16945376