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687424100 = 2252112272753
BaseRepresentation
bin101000111110010…
…100001001100100
31202220111202120212
4220332110021210
52401440032400
6152113514552
723015002616
oct5076241144
91686452525
10687424100
1132303a9a0
12172272a58
13ac55822c
1467422db6
154053b335
hex28f94264

687424100 has 72 divisors (see below), whose sum is σ = 1635082848. Its totient is φ = 248780800.

The previous prime is 687424099. The next prime is 687424117. The reversal of 687424100 is 1424786.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248324 + ... + 251076.

It is an arithmetic number, because the mean of its divisors is an integer number (22709484).

Almost surely, 2687424100 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 687424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817541424).

687424100 is an abundant number, since it is smaller than the sum of its proper divisors (947658748).

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

687424100 is a wasteful number, since it uses less digits than its factorization.

687424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 687424100 is about 26218.7738080941. The cubic root of 687424100 is about 882.5546034315.

Adding to 687424100 its reverse (1424786), we get a palindrome (688848886).

The spelling of 687424100 in words is "six hundred eighty-seven million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 227 275 454 550 908 1100 1135 2270 2497 2753 4540 4994 5506 5675 9988 11012 11350 12485 13765 22700 24970 27530 30283 49940 55060 60566 62425 68825 121132 124850 137650 151415 249700 275300 302830 605660 624931 757075 1249862 1514150 2499724 3028300 3124655 6249310 6874241 12498620 13748482 15623275 27496964 31246550 34371205 62493100 68742410 137484820 171856025 343712050 687424100