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687540080 = 24519452329
BaseRepresentation
bin101000111110110…
…000011101110000
31202220201122200102
4220332300131300
52402002240310
6152120211532
723015665013
oct5076603560
91686648612
10687540080
1132310a047
12172309ba8
13ac598c66
146745337a
15405608a5
hex28fb0770

687540080 has 40 divisors (see below), whose sum is σ = 1682667600. Its totient is φ = 260540928.

The previous prime is 687540079. The next prime is 687540109. The reversal of 687540080 is 80045786.

687540080 is digitally balanced in base 2, 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 (40).

It is a super-2 number, since 2×6875400802 = 945422723212812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224645 + ... + 227684.

It is an arithmetic number, because the mean of its divisors is an integer number (42066690).

Almost surely, 2687540080 is an apocalyptic number.

It is an amenable number.

687540080 is an abundant number, since it is smaller than the sum of its proper divisors (995127520).

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

687540080 is a wasteful number, since it uses less digits than its factorization.

687540080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452361 (or 452355 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 687540080 is about 26220.9854887264. The cubic root of 687540080 is about 882.6042345723.

The spelling of 687540080 in words is "six hundred eighty-seven million, five hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 452329 904658 1809316 2261645 3618632 4523290 7237264 8594251 9046580 17188502 18093160 34377004 36186320 42971255 68754008 85942510 137508016 171885020 343770040 687540080