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6505832940 = 22351943113241
BaseRepresentation
bin1100000111100011…
…10010000111101100
3121210101212120000120
412003301302013230
5101310443123230
62553322324540
7320135444655
oct60361620754
917711776016
106505832940
112839411642
121316959750
137c8b13ab9
1445a08252c
15281254310
hex183c721ec

6505832940 has 96 divisors (see below), whose sum is σ = 19221027840. Its totient is φ = 1639641600.

The previous prime is 6505832933. The next prime is 6505832941. The reversal of 6505832940 is 492385056.

It is a junction number, because it is equal to n+sod(n) for n = 6505832892 and 6505832901.

It is not an unprimeable number, because it can be changed into a prime (6505832941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484720 + ... + 497960.

It is an arithmetic number, because the mean of its divisors is an integer number (200219040).

Almost surely, 26505832940 is an apocalyptic number.

6505832940 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 6505832940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610513920).

6505832940 is an abundant number, since it is smaller than the sum of its proper divisors (12715194900).

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

6505832940 is a wasteful number, since it uses less digits than its factorization.

6505832940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13703 (or 13701 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 6505832940 is about 80658.7437293689. The cubic root of 6505832940 is about 1866.8136554462.

The spelling of 6505832940 in words is "six billion, five hundred five million, eight hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 431 570 862 1140 1293 1724 2155 2586 4310 5172 6465 8189 8620 12930 13241 16378 24567 25860 26482 32756 39723 40945 49134 52964 66205 79446 81890 98268 122835 132410 158892 163780 198615 245670 251579 264820 397230 491340 503158 754737 794460 1006316 1257895 1509474 2515790 3018948 3773685 5031580 5706871 7547370 11413742 15094740 17120613 22827484 28534355 34241226 57068710 68482452 85603065 108430549 114137420 171206130 216861098 325291647 342412260 433722196 542152745 650583294 1084305490 1301166588 1626458235 2168610980 3252916470 6505832940