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16241472 = 263413241
BaseRepresentation
bin111101111101…
…001101000000
31010120011010000
4331331031000
513124211342
61340040000
7255023142
oct75751500
933504100
1016241472
119193505
125533000
133498750
14222ac92
15165c44c
hexf7d340

16241472 has 140 divisors (see below), whose sum is σ = 52063396. Its totient is φ = 4976640.

The previous prime is 16241471. The next prime is 16241501. The reversal of 16241472 is 27414261.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 9144576 = 2664^2 + 3024^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16241471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67272 + ... + 67512.

Almost surely, 216241472 is an apocalyptic number.

16241472 is a gapful number since it is divisible by the number (12) 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 16241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26031698).

16241472 is an abundant number, since it is smaller than the sum of its proper divisors (35821924).

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

16241472 is a wasteful number, since it uses less digits than its factorization.

16241472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 16241472 is about 4030.0709671171. The cubic root of 16241472 is about 253.2455343638.

It can be divided in two parts, 162 and 41472, that multiplied together give a square (6718464 = 25922).

The spelling of 16241472 in words is "sixteen million, two hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 241 288 312 324 351 416 432 468 482 576 624 648 702 723 832 864 936 964 1053 1248 1296 1404 1446 1728 1872 1928 2106 2169 2496 2592 2808 2892 3133 3744 3856 4212 4338 5184 5616 5784 6266 6507 7488 7712 8424 8676 9399 11232 11568 12532 13014 15424 16848 17352 18798 19521 22464 23136 25064 26028 28197 33696 34704 37596 39042 46272 50128 52056 56394 67392 69408 75192 78084 84591 100256 104112 112788 138816 150384 156168 169182 200512 208224 225576 253773 300768 312336 338364 416448 451152 507546 601536 624672 676728 902304 1015092 1249344 1353456 1804608 2030184 2706912 4060368 5413824 8120736 16241472