Search a number
-
+
6140446320 = 243565339181
BaseRepresentation
bin1011011011111111…
…11100011001110000
3120211221022222210210
411231333330121300
5100033423240240
62453151024120
7305110634601
oct55577743160
916757288723
106140446320
112671138228
12123450b040
1376b2012b8
1442372bda8
1525e12b780
hex16dffc670

6140446320 has 80 divisors (see below), whose sum is σ = 19065020832. Its totient is φ = 1634903040.

The previous prime is 6140446309. The next prime is 6140446339. The reversal of 6140446320 is 236440416.

It is a Cunningham number, because it is equal to 783612-1.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137130 + ... + 176310.

Almost surely, 26140446320 is an apocalyptic number.

6140446320 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 6140446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532510416).

6140446320 is an abundant number, since it is smaller than the sum of its proper divisors (12924574512).

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

6140446320 is a wasteful number, since it uses less digits than its factorization.

6140446320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39850 (or 39844 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6140446320 is about 78360.9999936193. Note that the first 5 decimals coincide. The cubic root of 6140446320 is about 1831.1895994864.

Adding to 6140446320 its reverse (236440416), we get a palindrome (6376886736).

The spelling of 6140446320 in words is "six billion, one hundred forty million, four hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2612 3265 3918 5224 6530 7836 9795 10448 13060 15672 19590 26120 31344 39180 39181 52240 78360 78362 117543 156720 156724 195905 235086 313448 391810 470172 587715 626896 783620 940344 1175430 1567240 1880688 2350860 3134480 4701720 9403440 25585193 51170386 76755579 102340772 127925965 153511158 204681544 255851930 307022316 383777895 409363088 511703860 614044632 767555790 1023407720 1228089264 1535111580 2046815440 3070223160 6140446320