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16943920 = 245779383
BaseRepresentation
bin100000010100…
…0101100110000
31011212211200121
41000220230300
513314201140
61403100024
7264010120
oct100505460
934784617
1016943920
119623244
125811614
1336833b6
142370c80
15174a64a
hex1028b30

16943920 has 80 divisors (see below), whose sum is σ = 45711360. Its totient is φ = 5720832.

The previous prime is 16943881. The next prime is 16943921. The reversal of 16943920 is 2934961.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (16943921) 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, 44049 + ... + 44431.

It is an arithmetic number, because the mean of its divisors is an integer number (571392).

Almost surely, 216943920 is an apocalyptic number.

16943920 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 16943920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855680).

16943920 is an abundant number, since it is smaller than the sum of its proper divisors (28767440).

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

16943920 is a wasteful number, since it uses less digits than its factorization.

16943920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 16943920 is about 4116.2993088453. The cubic root of 16943920 is about 256.8451074511.

The spelling of 16943920 in words is "sixteen million, nine hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 316 383 395 553 560 632 766 790 1106 1264 1532 1580 1915 2212 2681 2765 3064 3160 3830 4424 5362 5530 6128 6320 7660 8848 10724 11060 13405 15320 21448 22120 26810 30257 30640 42896 44240 53620 60514 107240 121028 151285 211799 214480 242056 302570 423598 484112 605140 847196 1058995 1210280 1694392 2117990 2420560 3388784 4235980 8471960 16943920