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13047216 = 24371329103
BaseRepresentation
bin110001110001…
…010110110000
3220112212102020
4301301112300
511320002331
61143351440
7215620350
oct61612660
926485366
1013047216
117401626
124452580
13291a860
141a38b60
15122ac96
hexc715b0

13047216 has 160 divisors (see below), whose sum is σ = 43330560. Its totient is φ = 3290112.

The previous prime is 13047163. The next prime is 13047239. The reversal of 13047216 is 61274031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126621 + ... + 126723.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 213047216 is an apocalyptic number.

13047216 is a gapful number since it is divisible by the number (16) 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 13047216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665280).

13047216 is an abundant number, since it is smaller than the sum of its proper divisors (30283344).

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

13047216 is a wasteful number, since it uses less digits than its factorization.

13047216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13047216 is about 3612.0930220580. The cubic root of 13047216 is about 235.4177930803.

The spelling of 13047216 in words is "thirteen million, forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 103 104 112 116 156 168 174 182 203 206 208 232 273 309 312 336 348 364 377 406 412 464 546 609 618 624 696 721 728 754 812 824 1092 1131 1218 1236 1339 1392 1442 1456 1508 1624 1648 2163 2184 2262 2436 2472 2639 2678 2884 2987 3016 3248 4017 4326 4368 4524 4872 4944 5278 5356 5768 5974 6032 7917 8034 8652 8961 9048 9373 9744 10556 10712 11536 11948 15834 16068 17304 17922 18096 18746 20909 21112 21424 23896 28119 31668 32136 34608 35844 37492 38831 41818 42224 47792 56238 62727 63336 64272 71688 74984 77662 83636 112476 116493 125454 126672 143376 149968 155324 167272 224952 232986 250908 271817 310648 334544 449904 465972 501816 543634 621296 815451 931944 1003632 1087268 1630902 1863888 2174536 3261804 4349072 6523608 13047216