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30080736 = 2532743347
BaseRepresentation
bin111001010111…
…1111011100000
32002121021000100
41302233323200
530200040421
62552422400
7513452640
oct162577340
962537010
1030080736
1115a86114
12a0a7a00
13630296a
143dd0520
152992c26
hex1cafee0

30080736 has 144 divisors (see below), whose sum is σ = 100324224. Its totient is φ = 8370432.

The previous prime is 30080731. The next prime is 30080759. The reversal of 30080736 is 63708003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30080731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86515 + ... + 86861.

It is an arithmetic number, because the mean of its divisors is an integer number (696696).

Almost surely, 230080736 is an apocalyptic number.

30080736 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 30080736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50162112).

30080736 is an abundant number, since it is smaller than the sum of its proper divisors (70243488).

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

30080736 is a wasteful number, since it uses less digits than its factorization.

30080736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 30080736 is about 5484.5907778065. The cubic root of 30080736 is about 311.0017403913.

Adding to 30080736 its reverse (63708003), we get a palindrome (93788739).

The spelling of 30080736 in words is "thirty million, eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 56 63 72 84 86 96 112 126 129 144 168 172 224 252 258 288 301 336 344 347 387 504 516 602 672 688 694 774 903 1008 1032 1041 1204 1376 1388 1548 1806 2016 2064 2082 2408 2429 2709 2776 3096 3123 3612 4128 4164 4816 4858 5418 5552 6192 6246 7224 7287 8328 9632 9716 10836 11104 12384 12492 14448 14574 14921 16656 19432 21672 21861 24984 28896 29148 29842 33312 38864 43344 43722 44763 49968 58296 59684 77728 86688 87444 89526 99936 104447 116592 119368 134289 174888 179052 208894 233184 238736 268578 313341 349776 358104 417788 477472 537156 626682 699552 716208 835576 940023 1074312 1253364 1432416 1671152 1880046 2148624 2506728 3342304 3760092 4297248 5013456 7520184 10026912 15040368 30080736