Search a number
-
+
6140760 = 233573701
BaseRepresentation
bin10111011011001101011000
3102112222112120
4113123031120
53033001020
6335341240
7103124043
oct27331530
912488476
106140760
11351470a
122081820
1313700b2
14b5bc5a
15814740
hex5db358

6140760 has 64 divisors (see below), whose sum is σ = 18701280. Its totient is φ = 1612800.

The previous prime is 6140753. The next prime is 6140767. The reversal of 6140760 is 670416.

6140760 is a nontrivial binomial coefficient, being equal to C(3505, 2).

It is an interprime number because it is at equal distance from previous prime (6140753) and next prime (6140767).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6140760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6140767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8410 + ... + 9110.

Almost surely, 26140760 is an apocalyptic number.

6140760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6140760 is the 3504-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6140760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350640).

6140760 is an abundant number, since it is smaller than the sum of its proper divisors (12560520).

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

6140760 is a wasteful number, since it uses less digits than its factorization.

6140760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6140760 is about 2478.0556894469. The cubic root of 6140760 is about 183.1220780595.

The spelling of 6140760 in words is "six million, one hundred forty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 701 730 876 1095 1402 1460 1752 2103 2190 2804 2920 3505 4206 4380 5608 7010 8412 8760 10515 14020 16824 21030 28040 42060 51173 84120 102346 153519 204692 255865 307038 409384 511730 614076 767595 1023460 1228152 1535190 2046920 3070380 6140760