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385020 = 223352331
BaseRepresentation
bin1011101111111111100
3201120011000
41131333330
544310040
612130300
73162336
oct1357774
9646130
10385020
112432a9
12166990
1310632c
14a0456
1579130
hex5dffc

385020 has 96 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 95040.

The previous prime is 385013. The next prime is 385027. The reversal of 385020 is 20583.

385020 = T79 + T80 + ... + T140.

It is an interprime number because it is at equal distance from previous prime (385013) and next prime (385027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 384984 and 385002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385027) by changing a digit.

385020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12405 + ... + 12435.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2385020 is an apocalyptic number.

385020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 620×621.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

385020 is an abundant number, since it is smaller than the sum of its proper divisors (905220).

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

385020 is a wasteful number, since it uses less digits than its factorization.

385020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 385020 is about 620.4997985495. The cubic root of 385020 is about 72.7491231694.

The spelling of 385020 in words is "three hundred eighty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 31 36 45 46 54 60 62 69 90 92 93 108 115 124 135 138 155 180 186 207 230 270 276 279 310 345 372 414 460 465 540 558 620 621 690 713 828 837 930 1035 1116 1242 1380 1395 1426 1674 1860 2070 2139 2484 2790 2852 3105 3348 3565 4140 4185 4278 5580 6210 6417 7130 8370 8556 10695 12420 12834 14260 16740 19251 21390 25668 32085 38502 42780 64170 77004 96255 128340 192510 385020