Search a number
-
+
6328920 = 2335134057
BaseRepresentation
bin11000001001001001011000
3102220112122110
4120021021120
53110011140
6343352320
7104536443
oct30111130
912815573
106328920
113633014
1221526a0
131407930
14baa65a
15850380
hex609258

6328920 has 64 divisors (see below), whose sum is σ = 20452320. Its totient is φ = 1557504.

The previous prime is 6328909. The next prime is 6328939. The reversal of 6328920 is 298236.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 469 + ... + 3588.

Almost surely, 26328920 is an apocalyptic number.

6328920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6328920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10226160).

6328920 is an abundant number, since it is smaller than the sum of its proper divisors (14123400).

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

6328920 is a wasteful number, since it uses less digits than its factorization.

6328920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4084 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6328920 is about 2515.7344851951. The cubic root of 6328920 is about 184.9736509832.

The spelling of 6328920 in words is "six million, three hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 4057 8114 12171 16228 20285 24342 32456 40570 48684 52741 60855 81140 97368 105482 121710 158223 162280 210964 243420 263705 316446 421928 486840 527410 632892 791115 1054820 1265784 1582230 2109640 3164460 6328920