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30199824 = 2433531319
BaseRepresentation
bin111001100110…
…1000000010000
32002211022101000
41303031000100
530212343244
62555142000
7514460064
oct163150020
962738330
1030199824
1116057636
12a144900
136344c25
144021aa4
1529b8169
hex1ccd010

30199824 has 80 divisors (see below), whose sum is σ = 88387200. Its totient is φ = 9869184.

The previous prime is 30199789. The next prime is 30199843. The reversal of 30199824 is 42899103.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22237 + ... + 23555.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 230199824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30199824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44193600).

30199824 is an abundant number, since it is smaller than the sum of its proper divisors (58187376).

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

30199824 is a wasteful number, since it uses less digits than its factorization.

30199824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 30199824 is about 5495.4366523507. The cubic root of 30199824 is about 311.4116129779.

The spelling of 30199824 in words is "thirty million, one hundred ninety-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1319 1431 1908 2544 2638 2862 3816 3957 5276 5724 7632 7914 10552 11448 11871 15828 21104 22896 23742 31656 35613 47484 63312 69907 71226 94968 139814 142452 189936 209721 279628 284904 419442 559256 569808 629163 838884 1118512 1258326 1677768 1887489 2516652 3355536 3774978 5033304 7549956 10066608 15099912 30199824