Search a number
-
+
380170120 = 235117910937
BaseRepresentation
bin10110101010001…
…110111110001000
3222111100122100211
4112222032332020
51234310420440
6101420210504
712264251461
oct2652167610
9874318324
10380170120
11185661490
12a7399a34
13609ba745
14386c1d68
1523597eea
hex16a8ef88

380170120 has 64 divisors (see below), whose sum is σ = 945043200. Its totient is φ = 136481280.

The previous prime is 380170051. The next prime is 380170159. The reversal of 380170120 is 21071083.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 380170091 and 380170100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29292 + ... + 40228.

It is an arithmetic number, because the mean of its divisors is an integer number (14766300).

Almost surely, 2380170120 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 380170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472521600).

380170120 is an abundant number, since it is smaller than the sum of its proper divisors (564873080).

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

380170120 is a wasteful number, since it uses less digits than its factorization.

380170120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 380170120 is about 19497.9516872927. The cubic root of 380170120 is about 724.4237164442.

The spelling of 380170120 in words is "three hundred eighty million, one hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 4345 6952 8690 10937 17380 21874 34760 43748 54685 87496 109370 120307 218740 240614 437480 481228 601535 864023 962456 1203070 1728046 2406140 3456092 4320115 4812280 6912184 8640230 9504253 17280460 19008506 34560920 38017012 47521265 76034024 95042530 190085060 380170120