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120128448 = 26311232473
BaseRepresentation
bin1110010100100…
…00001111000000
322101001011020210
413022100033000
5221223102243
615530434120
72656034466
oct712201700
9271034223
10120128448
116189a310
1234292940
131bb7052b
1411d50836
15a82d933
hex72903c0

120128448 has 112 divisors (see below), whose sum is σ = 361956096. Its totient is φ = 34805760.

The previous prime is 120128447. The next prime is 120128453. The reversal of 120128448 is 844821021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120128447) 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, 47340 + ... + 49812.

Almost surely, 2120128448 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 120128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180978048).

120128448 is an abundant number, since it is smaller than the sum of its proper divisors (241827648).

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

120128448 is a wasteful number, since it uses less digits than its factorization.

120128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 120128448 is about 10960.3124043067. The cubic root of 120128448 is about 493.4183410042.

Adding to 120128448 its reverse (844821021), we get a palindrome (964949469).

The spelling of 120128448 in words is "one hundred twenty million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 2473 3036 4048 4416 4946 6072 7419 8096 9892 12144 14838 16192 19784 24288 27203 29676 39568 48576 54406 56879 59352 79136 81609 108812 113758 118704 158272 163218 170637 217624 227516 237408 326436 341274 435248 455032 474816 625669 652872 682548 870496 910064 1251338 1305744 1365096 1740992 1820128 1877007 2502676 2611488 2730192 3640256 3754014 5005352 5222976 5460384 7508028 10010704 10920768 15016056 20021408 30032112 40042816 60064224 120128448