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30026016 = 2532137761
BaseRepresentation
bin111001010001…
…0100100100000
32002111110221200
41302202210200
530141313031
62551321200
7513134256
oct162424440
962443850
1030026016
1115a48a99
12a080200
1362b3a97
143db85d6
1529818e6
hex1ca2920

30026016 has 72 divisors (see below), whose sum is σ = 86122764. Its totient is φ = 9922560.

The previous prime is 30025999. The next prime is 30026027. The reversal of 30026016 is 61062003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26998416 + 3027600 = 5196^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30026016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39076 + ... + 39836.

Almost surely, 230026016 is an apocalyptic number.

30026016 is a gapful number since it is divisible by the number (36) 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 30026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43061382).

30026016 is an abundant number, since it is smaller than the sum of its proper divisors (56096748).

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

30026016 is a wasteful number, since it uses less digits than its factorization.

30026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30026016 is about 5479.5999854004. The cubic root of 30026016 is about 310.8130443783.

Adding to 30026016 its reverse (61062003), we get a palindrome (91088019).

The spelling of 30026016 in words is "thirty million, twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 137 144 274 288 411 548 761 822 1096 1233 1522 1644 2192 2283 2466 3044 3288 4384 4566 4932 6088 6576 6849 9132 9864 12176 13152 13698 18264 19728 24352 27396 36528 39456 54792 73056 104257 109584 208514 219168 312771 417028 625542 834056 938313 1251084 1668112 1876626 2502168 3336224 3753252 5004336 7506504 10008672 15013008 30026016