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30504135420 = 223251125161379
BaseRepresentation
bin11100011010001100…
…000010101011111100
32220201212220122011100
4130122030002223330
5444433024313140
622002521253100
72126630605263
oct343214025374
986655818140
1030504135420
1111a33875480
125ab3934190
132b51967595
1416953995da
15bd800c530
hex71a302afc

30504135420 has 144 divisors (see below), whose sum is σ = 101344763520. Its totient is φ = 7365360000.

The previous prime is 30504135407. The next prime is 30504135449. The reversal of 30504135420 is 2453140503.

30504135420 is a `hidden beast` number, since 3 + 0 + 504 + 135 + 4 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466291 + ... + 527669.

It is an arithmetic number, because the mean of its divisors is an integer number (703783080).

Almost surely, 230504135420 is an apocalyptic number.

30504135420 is a gapful number since it is divisible by the number (30) 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 30504135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50672381760).

30504135420 is an abundant number, since it is smaller than the sum of its proper divisors (70840628100).

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

30504135420 is a wasteful number, since it uses less digits than its factorization.

30504135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61656 (or 61651 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 30504135420 its reverse (2453140503), we get a palindrome (32957275923).

The spelling of 30504135420 in words is "thirty billion, five hundred four million, one hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 251 330 396 495 502 660 753 990 1004 1255 1506 1980 2259 2510 2761 3012 3765 4518 5020 5522 7530 8283 9036 11044 11295 13805 15060 16566 22590 24849 27610 33132 41415 45180 49698 55220 61379 82830 99396 122758 124245 165660 184137 245516 248490 306895 368274 496980 552411 613790 675169 736548 920685 1104822 1227580 1350338 1841370 2025507 2209644 2700676 2762055 3375845 3682740 4051014 5524110 6076521 6751690 8102028 10127535 11048220 12153042 13503380 15406129 20255070 24306084 30382605 30812258 40510140 46218387 60765210 61624516 77030645 92436774 121530420 138655161 154061290 169467419 184873548 231091935 277310322 308122580 338934838 462183870 508402257 554620644 677869676 693275805 847337095 924367740 1016804514 1386551610 1525206771 1694674190 2033609028 2542011285 2773103220 3050413542 3389348380 5084022570 6100827084 7626033855 10168045140 15252067710 30504135420