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30120240 = 2435413061
BaseRepresentation
bin111001011100…
…1100100110000
32002200021012110
41302321210300
530202321430
62553325320
7514006053
oct162714460
962607173
1030120240
1116002867
12a106840
136317937
144000a9a
15299e7b0
hex1cb9930

30120240 has 80 divisors (see below), whose sum is σ = 95681376. Its totient is φ = 7833600.

The previous prime is 30120239. The next prime is 30120289. The reversal of 30120240 is 4202103.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8310 + ... + 11370.

Almost surely, 230120240 is an apocalyptic number.

30120240 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 30120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47840688).

30120240 is an abundant number, since it is smaller than the sum of its proper divisors (65561136).

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

30120240 is a wasteful number, since it uses less digits than its factorization.

30120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 30120240 is about 5488.1909587769. The cubic root of 30120240 is about 311.1378234811.

Adding to 30120240 its reverse (4202103), we get a palindrome (34322343).

The spelling of 30120240 in words is "thirty million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3061 3280 4920 6122 9183 9840 12244 15305 18366 24488 30610 36732 45915 48976 61220 73464 91830 122440 125501 146928 183660 244880 251002 367320 376503 502004 627505 734640 753006 1004008 1255010 1506012 1882515 2008016 2510020 3012024 3765030 5020040 6024048 7530060 10040080 15060120 30120240