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682646640 = 243513218797
BaseRepresentation
bin101000101100000…
…101110001110000
31202120112001010220
4220230011301300
52344224143030
6151423253040
722626254304
oct5054056160
91676461126
10682646640
11320377585
1217074a180
13ab574830
146693bd04
153ede5a10
hex28b05c70

682646640 has 80 divisors (see below), whose sum is σ = 2278999968. Its totient is φ = 168035328.

The previous prime is 682646639. The next prime is 682646651. The reversal of 682646640 is 46646286.

682646640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 682646592 and 682646601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106279 + ... + 112518.

Almost surely, 2682646640 is an apocalyptic number.

682646640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682646640 is an abundant number, since it is smaller than the sum of its proper divisors (1596353328).

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

682646640 is a wasteful number, since it uses less digits than its factorization.

682646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218826 (or 218820 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 682646640 is about 26127.5073437938. The cubic root of 682646640 is about 880.5053227205.

The spelling of 682646640 in words is "six hundred eighty-two million, six hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 218797 437594 656391 875188 1093985 1312782 1750376 2187970 2625564 2844361 3281955 3500752 4375940 5251128 5688722 6563910 8533083 8751880 10502256 11377444 13127820 14221805 17066166 17503760 22754888 26255640 28443610 34132332 42665415 45509776 52511280 56887220 68264664 85330830 113774440 136529328 170661660 227548880 341323320 682646640