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687104028 = 22321317671289
BaseRepresentation
bin101000111101000…
…110000000011100
31202212220111112100
4220331012000130
52401344312103
6152103005100
723012200512
oct5075060034
91685814470
10687104028
11322941476
12172139790
13ac475640
146737c4b2
15404c65a3
hex28f4601c

687104028 has 144 divisors (see below), whose sum is σ = 2011595040. Its totient is φ = 195858432.

The previous prime is 687104027. The next prime is 687104051. The reversal of 687104028 is 820401786.

It is a super-2 number, since 2×6871040282 = 944223890587649568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 687103983 and 687104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687104021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532408 + ... + 533696.

It is an arithmetic number, because the mean of its divisors is an integer number (13969410).

Almost surely, 2687104028 is an apocalyptic number.

687104028 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687104028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005797520).

687104028 is an abundant number, since it is smaller than the sum of its proper divisors (1324491012).

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

687104028 is a wasteful number, since it uses less digits than its factorization.

687104028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 687104028 is about 26212.6692269215. The cubic root of 687104028 is about 882.4176065517.

The spelling of 687104028 in words is "six hundred eighty-seven million, one hundred four thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 67 68 78 102 117 134 153 156 201 204 221 234 268 306 402 442 468 603 612 663 804 871 884 1139 1206 1289 1326 1742 1989 2278 2412 2578 2613 2652 3417 3484 3867 3978 4556 5156 5226 6834 7734 7839 7956 10251 10452 11601 13668 14807 15468 15678 16757 20502 21913 23202 29614 31356 33514 41004 43826 44421 46404 50271 59228 65739 67028 86363 87652 88842 100542 131478 133263 150813 172726 177684 197217 201084 259089 262956 266526 284869 301626 345452 394434 518178 533052 569738 603252 777267 788868 854607 1036356 1122719 1139476 1468171 1554534 1709214 2245438 2563821 2936342 3109068 3368157 3418428 4404513 4490876 5127642 5872684 6736314 8809026 10104471 10255284 13213539 13472628 17618052 19086223 20208942 26427078 38172446 40417884 52854156 57258669 76344892 114517338 171776007 229034676 343552014 687104028