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649740 = 2235721317
BaseRepresentation
bin10011110101000001100
31020000021110
42132220030
5131242430
621532020
75344200
oct2365014
91200243
10649740
11404183
12274010
13199980
1412cb00
15cc7b0
hex9ea0c

649740 has 144 divisors (see below), whose sum is σ = 2413152. Its totient is φ = 129024.

The previous prime is 649739. The next prime is 649751. The reversal of 649740 is 47946.

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 = 649698 and 649707.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 649740.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38212 + ... + 38228.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2649740 is an apocalyptic number.

649740 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 649740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206576).

649740 is an abundant number, since it is smaller than the sum of its proper divisors (1763412).

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

649740 is a wasteful number, since it uses less digits than its factorization.

649740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 649740 is about 806.0645135471. The cubic root of 649740 is about 86.6123591390.

The spelling of 649740 in words is "six hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 17 20 21 26 28 30 34 35 39 42 49 51 52 60 65 68 70 78 84 85 91 98 102 105 119 130 140 147 156 170 182 195 196 204 210 221 238 245 255 260 273 294 340 357 364 390 420 442 455 476 490 510 546 588 595 637 663 714 735 780 833 884 910 980 1020 1092 1105 1190 1274 1326 1365 1428 1470 1547 1666 1785 1820 1911 2210 2380 2499 2548 2652 2730 2940 3094 3185 3315 3332 3570 3822 4165 4420 4641 4998 5460 6188 6370 6630 7140 7644 7735 8330 9282 9555 9996 10829 12495 12740 13260 15470 16660 18564 19110 21658 23205 24990 30940 32487 38220 43316 46410 49980 54145 64974 92820 108290 129948 162435 216580 324870 649740