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385520 = 2456179
BaseRepresentation
bin1011110000111110000
3201120211112
41132013300
544314040
612132452
73163652
oct1360760
9646745
10385520
11243713
12167128
13106625
14a06d2
1579365
hex5e1f0

385520 has 40 divisors (see below), whose sum is σ = 922560. Its totient is φ = 149760.

The previous prime is 385519. The next prime is 385531. The reversal of 385520 is 25583.

It is a tau number, because it is divible by the number of its divisors (40).

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, 4841 + ... + 4919.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2385520 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 385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461280).

385520 is an abundant number, since it is smaller than the sum of its proper divisors (537040).

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

385520 is a wasteful number, since it uses less digits than its factorization.

385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 385520 is about 620.9025688464. The cubic root of 385520 is about 72.7806010382.

The spelling of 385520 in words is "three hundred eighty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 79 80 122 158 244 305 316 395 488 610 632 790 976 1220 1264 1580 2440 3160 4819 4880 6320 9638 19276 24095 38552 48190 77104 96380 192760 385520