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30124320 = 253597647
BaseRepresentation
bin111001011101…
…0100100100000
32002200110210120
41302322210200
530202434240
62553400240
7514024002
oct162724440
962613716
1030124320
1116005936
12a109080
136319755
144002372
1529a0ad0
hex1cba920

30124320 has 96 divisors (see below), whose sum is σ = 96018048. Its totient is φ = 7938048.

The previous prime is 30124313. The next prime is 30124333. The reversal of 30124320 is 2342103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30124320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46237 + ... + 46883.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 230124320 is an apocalyptic number.

30124320 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 30124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024).

30124320 is an abundant number, since it is smaller than the sum of its proper divisors (65893728).

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

30124320 is a wasteful number, since it uses less digits than its factorization.

30124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 30124320 is about 5488.5626533729. The cubic root of 30124320 is about 311.1518714547.

Adding to 30124320 its reverse (2342103), we get a palindrome (32466423).

The spelling of 30124320 in words is "thirty million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 647 776 970 1164 1294 1455 1552 1940 1941 2328 2588 2910 3104 3235 3880 3882 4656 5176 5820 6470 7760 7764 9312 9705 10352 11640 12940 15520 15528 19410 20704 23280 25880 31056 38820 46560 51760 62112 62759 77640 103520 125518 155280 188277 251036 310560 313795 376554 502072 627590 753108 941385 1004144 1255180 1506216 1882770 2008288 2510360 3012432 3765540 5020720 6024864 7531080 10041440 15062160 30124320