Search a number
-
+
120582816 = 2531966109
BaseRepresentation
bin1110010111111…
…11001010100000
322101220020112020
413023333022200
5221332122231
615544301440
72662636254
oct713771240
9271806466
10120582816
116207a722
1234471880
131bc9c2a3
141202c264
15a8bd396
hex72ff2a0

120582816 has 48 divisors (see below), whose sum is σ = 333194400. Its totient is φ = 38078208.

The previous prime is 120582799. The next prime is 120582823. The reversal of 120582816 is 618285021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31231 + ... + 34878.

It is an arithmetic number, because the mean of its divisors is an integer number (6941550).

Almost surely, 2120582816 is an apocalyptic number.

120582816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120582816 is an abundant number, since it is smaller than the sum of its proper divisors (212611584).

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

120582816 is a wasteful number, since it uses less digits than its factorization.

120582816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66141 (or 66133 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 120582816 is about 10981.0207175836. The cubic root of 120582816 is about 494.0396521685.

The spelling of 120582816 in words is "one hundred twenty million, five hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 66109 132218 198327 264436 396654 528872 793308 1057744 1256071 1586616 2115488 2512142 3173232 3768213 5024284 6346464 7536426 10048568 15072852 20097136 30145704 40194272 60291408 120582816