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6533940 = 2235747331
BaseRepresentation
bin11000111011001100110100
3110021221212210
4120323030310
53133041230
6352013420
7106352250
oct30731464
913257783
106533940
113763056
122231270
13147a04a
14c21260
15890eb0
hex63b334

6533940 has 96 divisors (see below), whose sum is σ = 21417984. Its totient is φ = 1457280.

The previous prime is 6533939. The next prime is 6533951. The reversal of 6533940 is 493356.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6533898 and 6533907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19575 + ... + 19905.

It is an arithmetic number, because the mean of its divisors is an integer number (223104).

Almost surely, 26533940 is an apocalyptic number.

6533940 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 6533940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10708992).

6533940 is an abundant number, since it is smaller than the sum of its proper divisors (14884044).

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

6533940 is a wasteful number, since it uses less digits than its factorization.

6533940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 6533940 is about 2556.1572721568. The cubic root of 6533940 is about 186.9498182906.

The spelling of 6533940 in words is "six million, five hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 331 420 470 564 658 662 705 940 987 993 1316 1324 1410 1645 1655 1974 1986 2317 2820 3290 3310 3948 3972 4634 4935 4965 6580 6620 6951 9268 9870 9930 11585 13902 15557 19740 19860 23170 27804 31114 34755 46340 46671 62228 69510 77785 93342 108899 139020 155570 186684 217798 233355 311140 326697 435596 466710 544495 653394 933420 1088990 1306788 1633485 2177980 3266970 6533940