Search a number
-
+
120380848 = 2472233659
BaseRepresentation
bin1110010110011…
…01110110110000
322101111222110221
413023031312300
5221304141343
615540102424
72661135400
oct713156660
9271458427
10120380848
1161a51a05
1234394a14
131bc2b393
1411db8800
15a87d5ed
hex72cddb0

120380848 has 60 divisors (see below), whose sum is σ = 272895480. Its totient is φ = 51292416.

The previous prime is 120380833. The next prime is 120380851. The reversal of 120380848 is 848083021.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182343 + ... + 183001.

It is an arithmetic number, because the mean of its divisors is an integer number (4548258).

Almost surely, 2120380848 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 120380848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136447740).

120380848 is an abundant number, since it is smaller than the sum of its proper divisors (152514632).

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

120380848 is a wasteful number, since it uses less digits than its factorization.

120380848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 120380848 is about 10971.8206328758. The cubic root of 120380848 is about 493.7636704435.

The spelling of 120380848 in words is "one hundred twenty million, three hundred eighty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 233 392 466 659 784 932 1318 1631 1864 2636 3262 3728 4613 5272 6524 9226 10544 11417 13048 18452 22834 26096 32291 36904 45668 64582 73808 91336 129164 153547 182672 258328 307094 516656 614188 1074829 1228376 2149658 2456752 4299316 7523803 8598632 15047606 17197264 30095212 60190424 120380848