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6209940 = 223511972
BaseRepresentation
bin10111101100000110010100
3102200111102210
4113230012110
53042204230
6341033420
7103532532
oct27540624
912614383
106209940
113561690
1220b5870
131395729
14b79152
15829eb0
hex5ec194

6209940 has 72 divisors (see below), whose sum is σ = 19166112. Its totient is φ = 1489920.

The previous prime is 6209939. The next prime is 6209963. The reversal of 6209940 is 499026.

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

It is a junction number, because it is equal to n+sod(n) for n = 6209898 and 6209907.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 63972 + ... + 64068.

It is an arithmetic number, because the mean of its divisors is an integer number (266196).

Almost surely, 26209940 is an apocalyptic number.

6209940 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 6209940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583056).

6209940 is an abundant number, since it is smaller than the sum of its proper divisors (12956172).

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

6209940 is a wasteful number, since it uses less digits than its factorization.

6209940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 6209940 is about 2491.9751202610. The cubic root of 6209940 is about 183.8071782815.

The spelling of 6209940 in words is "six million, two hundred nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 970 1067 1164 1455 1940 2134 2910 3201 4268 5335 5820 6402 9409 10670 12804 16005 18818 21340 28227 32010 37636 47045 56454 64020 94090 103499 112908 141135 188180 206998 282270 310497 413996 517495 564540 620994 1034990 1241988 1552485 2069980 3104970 6209940