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6142740 = 2235372767
BaseRepresentation
bin10111011011101100010100
3102120002020220
4113123230110
53033031430
6335354340
7103132602
oct27335424
912502226
106142740
11351614a
1220829b0
131370c76
14b5c872
15815110
hex5dbb14

6142740 has 48 divisors (see below), whose sum is σ = 17670912. Its totient is φ = 1593216.

The previous prime is 6142739. The next prime is 6142783. The reversal of 6142740 is 472416.

It is a self number, because there is not a number n which added to its sum of digits gives 6142740.

It is a congruent number.

It is an unprimeable number.

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, 837 + ... + 3603.

It is an arithmetic number, because the mean of its divisors is an integer number (368144).

Almost surely, 26142740 is an apocalyptic number.

6142740 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 6142740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835456).

6142740 is an abundant number, since it is smaller than the sum of its proper divisors (11528172).

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

6142740 is a wasteful number, since it uses less digits than its factorization.

6142740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 6142740 is about 2478.4551640084. The cubic root of 6142740 is about 183.1417576405.

The spelling of 6142740 in words is "six million, one hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2767 5534 8301 11068 13835 16602 27670 33204 41505 55340 83010 102379 166020 204758 307137 409516 511895 614274 1023790 1228548 1535685 2047580 3071370 6142740