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16114720 = 2552329151
BaseRepresentation
bin111101011110…
…010000100000
31010022201020111
4331132100200
513111132340
61333221104
7253654456
oct75362040
933281214
1016114720
119107256
125491794
133452b4b
1421d69d6
151634aea
hexf5e420

16114720 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 5913600.

The previous prime is 16114711. The next prime is 16114727. The reversal of 16114720 is 2741161.

16114720 = T24 + T25 + ... + T458.

It is a junction number, because it is equal to n+sod(n) for n = 16114691 and 16114700.

It is not an unprimeable number, because it can be changed into a prime (16114727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106645 + ... + 106795.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 216114720 is an apocalyptic number.

16114720 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 16114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

16114720 is an abundant number, since it is smaller than the sum of its proper divisors (25253600).

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

16114720 is a wasteful number, since it uses less digits than its factorization.

16114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 16114720 is about 4014.3143872896. The cubic root of 16114720 is about 252.5850185880.

Adding to 16114720 its reverse (2741161), we get a palindrome (18855881).

The spelling of 16114720 in words is "sixteen million, one hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 80 92 115 116 145 151 160 184 230 232 290 302 368 460 464 580 604 667 736 755 920 928 1160 1208 1334 1510 1840 2320 2416 2668 3020 3335 3473 3680 4379 4640 4832 5336 6040 6670 6946 8758 10672 12080 13340 13892 17365 17516 21344 21895 24160 26680 27784 34730 35032 43790 53360 55568 69460 70064 87580 100717 106720 111136 138920 140128 175160 201434 277840 350320 402868 503585 555680 700640 805736 1007170 1611472 2014340 3222944 4028680 8057360 16114720