Search a number
-
+
3016920 = 233531811
BaseRepresentation
bin1011100000100011011000
312200021102210
423200203120
51233020140
6144355120
734433454
oct13404330
95607383
103016920
111780725
121015aa0
1381827a
14587664
153e8d80
hex2e08d8

3016920 has 64 divisors (see below), whose sum is σ = 9354240. Its totient is φ = 777600.

The previous prime is 3016907. The next prime is 3016921. The reversal of 3016920 is 296103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3016921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315 + ... + 4125.

It is an arithmetic number, because the mean of its divisors is an integer number (146160).

Almost surely, 23016920 is an apocalyptic number.

3016920 is a gapful number since it is divisible by the number (30) 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 3016920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677120).

3016920 is an abundant number, since it is smaller than the sum of its proper divisors (6337320).

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

3016920 is a wasteful number, since it uses less digits than its factorization.

3016920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 3016920 is about 1736.9283232189. The cubic root of 3016920 is about 144.4955917925.

The spelling of 3016920 in words is "three million, sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 811 930 1240 1622 1860 2433 3244 3720 4055 4866 6488 8110 9732 12165 16220 19464 24330 25141 32440 48660 50282 75423 97320 100564 125705 150846 201128 251410 301692 377115 502820 603384 754230 1005640 1508460 3016920