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682147840 = 214511757
BaseRepresentation
bin101000101010001…
…100000000000000
31202112120200220211
4220222030000000
52344112212330
6151404443504
722622106133
oct5052140000
91675520824
10682147840
11320066850
12170549594
13ab42b79a
146684c21a
153ed47d2a
hex28a8c000

682147840 has 120 divisors (see below), whose sum is σ = 1788291792. Its totient is φ = 247726080.

The previous prime is 682147819. The next prime is 682147853. The reversal of 682147840 is 48741286.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 682147793 and 682147802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 900742 + ... + 901498.

Almost surely, 2682147840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894145896).

682147840 is an abundant number, since it is smaller than the sum of its proper divisors (1106143952).

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

682147840 is an equidigital number, since it uses as much as digits as its factorization.

682147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 682147840 is about 26117.9601041123. The cubic root of 682147840 is about 880.2908129756.

The spelling of 682147840 in words is "six hundred eighty-two million, one hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 757 880 1024 1280 1408 1514 1760 2048 2560 2816 3028 3520 3785 4096 5120 5632 6056 7040 7570 8192 8327 10240 11264 12112 14080 15140 16384 16654 20480 22528 24224 28160 30280 33308 40960 41635 45056 48448 56320 60560 66616 81920 83270 90112 96896 112640 121120 133232 166540 180224 193792 225280 242240 266464 333080 387584 450560 484480 532928 666160 775168 901120 968960 1065856 1332320 1550336 1937920 2131712 2664640 3100672 3875840 4263424 5329280 6201344 7751680 8526848 10658560 12402688 15503360 17053696 21317120 31006720 34107392 42634240 62013440 68214784 85268480 136429568 170536960 341073920 682147840