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16126940 = 2254171277
BaseRepresentation
bin111101100001…
…001111011100
31010100100000002
4331201033130
513112030230
61333353432
7254035214
oct75411734
933310002
1016126940
119115455
125498878
13345858b
1421db244
151638545
hexf613dc

16126940 has 48 divisors (see below), whose sum is σ = 35308224. Its totient is φ = 6182400.

The previous prime is 16126937. The next prime is 16126949. The reversal of 16126940 is 4962161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16126949) 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, 58082 + ... + 58358.

It is an arithmetic number, because the mean of its divisors is an integer number (735588).

Almost surely, 216126940 is an apocalyptic number.

16126940 is a gapful number since it is divisible by the number (10) 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 16126940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654112).

16126940 is an abundant number, since it is smaller than the sum of its proper divisors (19181284).

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

16126940 is a wasteful number, since it uses less digits than its factorization.

16126940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 16126940 is about 4015.8361520361. The cubic root of 16126940 is about 252.6488486154.

The spelling of 16126940 in words is "sixteen million, one hundred twenty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 277 284 355 410 554 710 820 1108 1385 1420 2770 2911 5540 5822 11357 11644 14555 19667 22714 29110 39334 45428 56785 58220 78668 98335 113570 196670 227140 393340 806347 1612694 3225388 4031735 8063470 16126940