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30604061120 = 265619111721
BaseRepresentation
bin11100100000001001…
…001110100111000000
32220222211221101110012
4130200021032213000
51000134114423440
622020451124052
72132253140663
oct344011164700
986884841405
1030604061120
1111a852160a6
125b212a3628
132b69583309
1416a476b6da
15be1b99e65
hex72024e9c0

30604061120 has 112 divisors (see below), whose sum is σ = 74195001216. Its totient is φ = 12020736000.

The previous prime is 30604061107. The next prime is 30604061129. The reversal of 30604061120 is 2116040603.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30604061129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17781860 + ... + 17783580.

It is an arithmetic number, because the mean of its divisors is an integer number (662455368).

Almost surely, 230604061120 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 30604061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37097500608).

30604061120 is an abundant number, since it is smaller than the sum of its proper divisors (43590940096).

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

30604061120 is a wasteful number, since it uses less digits than its factorization.

30604061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 30604061120 in words is "thirty billion, six hundred four million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 160 244 305 320 488 610 911 976 1220 1721 1822 1952 2440 3442 3644 3904 4555 4880 6884 7288 8605 9110 9760 13768 14576 17210 18220 19520 27536 29152 34420 36440 55072 55571 58304 68840 72880 104981 110144 111142 137680 145760 209962 222284 275360 277855 291520 419924 444568 524905 550720 555710 839848 889136 1049810 1111420 1567831 1679696 1778272 2099620 2222840 3135662 3359392 3556544 4199240 4445680 6271324 6718784 7839155 8398480 8891360 12542648 15678310 16796960 17782720 25085296 31356620 33593920 50170592 62713240 95637691 100341184 125426480 191275382 250852960 382550764 478188455 501705920 765101528 956376910 1530203056 1912753820 3060406112 3825507640 6120812224 7651015280 15302030560 30604061120