Search a number
-
+
120380416 = 210139043
BaseRepresentation
bin1110010110011…
…01110000000000
322101111221212221
413023031300000
5221304133131
615540100424
72661134212
oct713156000
9271457787
10120380416
1161a51652
1234394714
131bc2b120
1411db85b2
15a87d411
hex72cdc00

120380416 has 44 divisors (see below), whose sum is σ = 259182952. Its totient is φ = 55554048.

The previous prime is 120380399. The next prime is 120380419. The reversal of 120380416 is 614083021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120380419) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8791 + ... + 17833.

Almost surely, 2120380416 is an apocalyptic number.

120380416 is a gapful number since it is divisible by the number (16) 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 120380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129591476).

120380416 is an abundant number, since it is smaller than the sum of its proper divisors (138802536).

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

120380416 is an equidigital number, since it uses as much as digits as its factorization.

120380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9076 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 120380416 is about 10971.8009460617. The cubic root of 120380416 is about 493.7630798009.

The spelling of 120380416 in words is "one hundred twenty million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 9043 13312 18086 36172 72344 117559 144688 235118 289376 470236 578752 940472 1157504 1880944 2315008 3761888 4630016 7523776 9260032 15047552 30095104 60190208 120380416