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120128320 = 2651367431
BaseRepresentation
bin1110010100100…
…00001101000000
322101001011002001
413022100031000
5221223101240
615530433344
72656034224
oct712201500
9271034061
10120128320
116189a204
1234292854
131bb70460
1411d50784
15a82d89a
hex7290340

120128320 has 112 divisors (see below), whose sum is σ = 313383168. Its totient is φ = 43591680.

The previous prime is 120128303. The next prime is 120128321. The reversal of 120128320 is 23821021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120128321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278505 + ... + 278935.

It is an arithmetic number, because the mean of its divisors is an integer number (2798064).

Almost surely, 2120128320 is an apocalyptic number.

120128320 is a gapful number since it is divisible by the number (10) 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 120128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156691584).

120128320 is an abundant number, since it is smaller than the sum of its proper divisors (193254848).

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

120128320 is a wasteful number, since it uses less digits than its factorization.

120128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 120128320 is about 10960.3065650556. The cubic root of 120128320 is about 493.4181657541.

Adding to 120128320 its reverse (23821021), we get a palindrome (143949341).

The spelling of 120128320 in words is "one hundred twenty million, one hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 67 80 104 130 134 160 208 260 268 320 335 416 431 520 536 670 832 862 871 1040 1072 1340 1724 1742 2080 2144 2155 2680 3448 3484 4160 4288 4310 4355 5360 5603 6896 6968 8620 8710 10720 11206 13792 13936 17240 17420 21440 22412 27584 27872 28015 28877 34480 34840 44824 55744 56030 57754 68960 69680 89648 112060 115508 137920 139360 144385 179296 224120 231016 278720 288770 358592 375401 448240 462032 577540 750802 896480 924064 1155080 1501604 1792960 1848128 1877005 2310160 3003208 3754010 4620320 6006416 7508020 9240640 12012832 15016040 24025664 30032080 60064160 120128320