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30104928 = 25327109137
BaseRepresentation
bin111001011010…
…1110101100000
32002122111012100
41302311311200
530201324203
62553130400
7513613320
oct162656540
962574170
1030104928
1115aa2307
12a0b9a00
136310989
143dd9280
152999ea3
hex1cb5d60

30104928 has 144 divisors (see below), whose sum is σ = 99459360. Its totient is φ = 8460288.

The previous prime is 30104897. The next prime is 30104933. The reversal of 30104928 is 82940103.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219676 + ... + 219812.

It is an arithmetic number, because the mean of its divisors is an integer number (690690).

Almost surely, 230104928 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 30104928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49729680).

30104928 is an abundant number, since it is smaller than the sum of its proper divisors (69354432).

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

30104928 is a wasteful number, since it uses less digits than its factorization.

30104928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30104928 is about 5486.7957862490. The cubic root of 30104928 is about 311.0850909455.

The spelling of 30104928 in words is "thirty million, one hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 137 144 168 218 224 252 274 288 327 336 411 436 504 548 654 672 763 822 872 959 981 1008 1096 1233 1308 1526 1644 1744 1918 1962 2016 2192 2289 2466 2616 2877 3052 3288 3488 3836 3924 4384 4578 4932 5232 5754 6104 6576 6867 7672 7848 8631 9156 9864 10464 11508 12208 13152 13734 14933 15344 15696 17262 18312 19728 23016 24416 27468 29866 30688 31392 34524 36624 39456 44799 46032 54936 59732 69048 73248 89598 92064 104531 109872 119464 134397 138096 179196 209062 219744 238928 268794 276192 313593 358392 418124 477856 537588 627186 716784 836248 940779 1075176 1254372 1433568 1672496 1881558 2150352 2508744 3344992 3763116 4300704 5017488 7526232 10034976 15052464 30104928