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385120 = 2552983
BaseRepresentation
bin1011110000001100000
3201120021201
41132001200
544310440
612130544
73162541
oct1360140
9646251
10385120
1124338a
12166a54
131063a8
14a04c8
157919a
hex5e060

385120 has 48 divisors (see below), whose sum is σ = 952560. Its totient is φ = 146944.

The previous prime is 385109. The next prime is 385127. The reversal of 385120 is 21583.

385120 = T145 + T146 + ... + T174.

It is a happy number.

385120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4599 + ... + 4681.

It is an arithmetic number, because the mean of its divisors is an integer number (19845).

2385120 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 385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

385120 is an abundant number, since it is smaller than the sum of its proper divisors (567440).

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

385120 is a wasteful number, since it uses less digits than its factorization.

385120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 385120 is about 620.5803735214. The cubic root of 385120 is about 72.7554209224.

It can be divided in two parts, 385 and 120, that added together give a palindrome (505).

The spelling of 385120 in words is "three hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 83 116 145 160 166 232 290 332 415 464 580 664 830 928 1160 1328 1660 2320 2407 2656 3320 4640 4814 6640 9628 12035 13280 19256 24070 38512 48140 77024 96280 192560 385120