Search a number
-
+
16362864 = 243372773
BaseRepresentation
bin111110011010…
…110101110000
31010210022122000
4332122311300
513142102424
61342414000
7256040100
oct76326560
933708560
1016362864
119266731
125591300
13350ba8b
14225d200
1516833c9
hexf9ad70

16362864 has 120 divisors (see below), whose sum is σ = 54706320. Its totient is φ = 4669056.

The previous prime is 16362851. The next prime is 16362881. The reversal of 16362864 is 46826361.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20782 + ... + 21554.

It is an arithmetic number, because the mean of its divisors is an integer number (455886).

Almost surely, 216362864 is an apocalyptic number.

16362864 is a gapful number since it is divisible by the number (14) 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 16362864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27353160).

16362864 is an abundant number, since it is smaller than the sum of its proper divisors (38343456).

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

16362864 is a wasteful number, since it uses less digits than its factorization.

16362864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 16362864 is about 4045.1037069524. The cubic root of 16362864 is about 253.8749048172.

The spelling of 16362864 in words is "sixteen million, three hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 773 784 882 1008 1176 1323 1512 1546 1764 2319 2352 2646 3024 3092 3528 4638 5292 5411 6184 6957 7056 9276 10584 10822 12368 13914 16233 18552 20871 21168 21644 27828 32466 37104 37877 41742 43288 48699 55656 64932 75754 83484 86576 97398 111312 113631 129864 146097 151508 166968 194796 227262 259728 292194 303016 333936 340893 389592 454524 584388 606032 681786 779184 909048 1022679 1168776 1363572 1818096 2045358 2337552 2727144 4090716 5454288 8181432 16362864