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390500 = 22531171
BaseRepresentation
bin1011111010101100100
3201211122222
41133111210
544444000
612211512
73214325
oct1372544
9654588
10390500
11247430
12169b98
13108986
14a244c
157aa85
hex5f564

390500 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 140000.

The previous prime is 390499. The next prime is 390503. The reversal of 390500 is 5093.

Adding to 390500 its reverse (5093), we get a palindrome (395593).

It can be divided in two parts, 390 and 500, that multiplied together give a triangular number (195000 = T624).

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (390503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5465 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2390500 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 390500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

390500 is an abundant number, since it is smaller than the sum of its proper divisors (552988).

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

390500 is a wasteful number, since it uses less digits than its factorization.

390500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 390500 is about 624.8999919987. The cubic root of 390500 is about 73.0926452428.

The spelling of 390500 in words is "three hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 125 142 220 250 275 284 355 500 550 710 781 1100 1375 1420 1562 1775 2750 3124 3550 3905 5500 7100 7810 8875 15620 17750 19525 35500 39050 78100 97625 195250 390500