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3024120 = 2335112979
BaseRepresentation
bin1011100010010011111000
312200122022110
423202103320
51233232440
6144452320
734463451
oct13422370
95618273
103024120
111786080
12101a0a0
1381b628
1458a128
153eb080
hex2e24f8

3024120 has 128 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 698880.

The previous prime is 3024101. The next prime is 3024137. The reversal of 3024120 is 214203.

3024120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 17392-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 3024096 and 3024105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 38241 + ... + 38319.

It is an arithmetic number, because the mean of its divisors is an integer number (81000).

Almost surely, 23024120 is an apocalyptic number.

3024120 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 3024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

3024120 is an abundant number, since it is smaller than the sum of its proper divisors (7343880).

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

3024120 is a wasteful number, since it uses less digits than its factorization.

3024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

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

The square root of 3024120 is about 1738.9997124784. Note that the first 3 decimals coincide. The cubic root of 3024120 is about 144.6104486365.

Adding to 3024120 its reverse (214203), we get a palindrome (3238323).

The spelling of 3024120 in words is "three million, twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 79 87 88 110 116 120 132 145 158 165 174 220 232 237 264 290 316 319 330 348 395 435 440 474 580 632 638 660 696 790 869 870 948 957 1160 1185 1276 1320 1580 1595 1738 1740 1896 1914 2291 2370 2552 2607 3160 3190 3476 3480 3828 4345 4582 4740 4785 5214 6380 6873 6952 7656 8690 9164 9480 9570 10428 11455 12760 13035 13746 17380 18328 19140 20856 22910 25201 26070 27492 34365 34760 38280 45820 50402 52140 54984 68730 75603 91640 100804 104280 126005 137460 151206 201608 252010 274920 302412 378015 504020 604824 756030 1008040 1512060 3024120