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682000400 = 24521705001
BaseRepresentation
bin101000101001101…
…000000000010000
31202112022012200002
4220221220000100
52344043003100
6151401345132
722620623234
oct5051500020
91675265602
10682000400
1131aa75aa4
121704981a8
13ab3a9643
14668105c4
153ed192d5
hex28a68010

682000400 has 30 divisors (see below), whose sum is σ = 1638506922. Its totient is φ = 272800000.

The previous prime is 682000399. The next prime is 682000469. The reversal of 682000400 is 4000286.

It can be written as a sum of positive squares in 3 ways, for example, as 64577296 + 617423104 = 8036^2 + 24848^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 852101 + ... + 852900.

Almost surely, 2682000400 is an apocalyptic number.

It is an amenable number.

682000400 is an abundant number, since it is smaller than the sum of its proper divisors (956506522).

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

682000400 is a wasteful number, since it uses less digits than its factorization.

682000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705019 (or 1705008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 682000400 is about 26115.1373727959. The cubic root of 682000400 is about 880.2273861435.

Adding to 682000400 its reverse (4000286), we get a palindrome (686000686).

The spelling of 682000400 in words is "six hundred eighty-two million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1705001 3410002 6820004 8525005 13640008 17050010 27280016 34100020 42625025 68200040 85250050 136400080 170500100 341000200 682000400