Search a number
-
+
6140720 = 245591301
BaseRepresentation
bin10111011011001100110000
3102112222111002
4113123030300
53033000340
6335341132
7103123655
oct27331460
912488432
106140720
113514683
1220817a8
131370081
14b5bc2c
15814715
hex5db330

6140720 has 40 divisors (see below), whose sum is σ = 14530320. Its totient is φ = 2412800.

The previous prime is 6140711. The next prime is 6140753. The reversal of 6140720 is 270416.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 6140692 and 6140701.

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, 4070 + ... + 5370.

It is an arithmetic number, because the mean of its divisors is an integer number (363258).

Almost surely, 26140720 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 6140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265160).

6140720 is an abundant number, since it is smaller than the sum of its proper divisors (8389600).

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

6140720 is a wasteful number, since it uses less digits than its factorization.

6140720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 6140720 is about 2478.0476185901. The cubic root of 6140720 is about 183.1216804486.

The spelling of 6140720 in words is "six million, one hundred forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 1301 2360 2602 4720 5204 6505 10408 13010 20816 26020 52040 76759 104080 153518 307036 383795 614072 767590 1228144 1535180 3070360 6140720