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16340720 = 2451131599
BaseRepresentation
bin111110010101…
…011011110000
31010202012020212
4332111123300
513140400340
61342123252
7255615404
oct76253360
933665225
1016340720
119251030
125580528
133501986
142255104
15167ba65
hexf956f0

16340720 has 80 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 5740800.

The previous prime is 16340707. The next prime is 16340729. The reversal of 16340720 is 2704361.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16340729) 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, 26981 + ... + 27579.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 216340720 is an apocalyptic number.

16340720 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 16340720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

16340720 is an abundant number, since it is smaller than the sum of its proper divisors (26513680).

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

16340720 is a wasteful number, since it uses less digits than its factorization.

16340720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 16340720 is about 4042.3656440258. The cubic root of 16340720 is about 253.7603294427.

The spelling of 16340720 in words is "sixteen million, three hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 599 620 682 880 1198 1240 1364 1705 2396 2480 2728 2995 3410 4792 5456 5990 6589 6820 9584 11980 13178 13640 18569 23960 26356 27280 32945 37138 47920 52712 65890 74276 92845 105424 131780 148552 185690 204259 263560 297104 371380 408518 527120 742760 817036 1021295 1485520 1634072 2042590 3268144 4085180 8170360 16340720