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6449940 = 2232575119
BaseRepresentation
bin11000100110101100010100
3110010200122200
4120212230110
53122344230
6350124500
7105552330
oct30465424
913120580
106449940
113705a32
1221b0730
13144aa43
14bdc7c0
15876160
hex626b14

6449940 has 72 divisors (see below), whose sum is σ = 22364160. Its totient is φ = 1473984.

The previous prime is 6449923. The next prime is 6450007. The reversal of 6449940 is 499446.

6449940 is a `hidden beast` number, since 644 + 9 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6449895 and 6449904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300 + ... + 3819.

Almost surely, 26449940 is an apocalyptic number.

6449940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6449940 is an abundant number, since it is smaller than the sum of its proper divisors (15914220).

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

6449940 is a wasteful number, since it uses less digits than its factorization.

6449940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6449940 is about 2539.6732073241. The cubic root of 6449940 is about 186.1452213083.

The spelling of 6449940 in words is "six million, four hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 5119 10238 15357 20476 25595 30714 35833 46071 51190 61428 71666 76785 92142 102380 107499 143332 153570 179165 184284 214998 230355 307140 322497 358330 429996 460710 537495 644994 716660 921420 1074990 1289988 1612485 2149980 3224970 6449940