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688668680 = 235719129449
BaseRepresentation
bin101001000011000…
…100000000001000
31202222211222211102
4221003010000020
52402244344210
6152200320532
723031405260
oct5103040010
91688758742
10688668680
1132380aa77
12172773148
13ac8a287b
14676687a0
15406d4ea5
hex290c4008

688668680 has 64 divisors (see below), whose sum is σ = 1864080000. Its totient is φ = 223686144.

The previous prime is 688668671. The next prime is 688668683. The reversal of 688668680 is 86866886.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (688668683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59405 + ... + 70044.

It is an arithmetic number, because the mean of its divisors is an integer number (29126250).

Almost surely, 2688668680 is an apocalyptic number.

It is an amenable number.

688668680 is an abundant number, since it is smaller than the sum of its proper divisors (1175411320).

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

688668680 is a wasteful number, since it uses less digits than its factorization.

688668680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129486 (or 129482 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 56.

The square root of 688668680 is about 26242.4975945507. The cubic root of 688668680 is about 883.0869034506.

The spelling of 688668680 in words is "six hundred eighty-eight million, six hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 129449 258898 517796 647245 906143 1035592 1294490 1812286 2459531 2588980 3624572 4530715 4919062 5177960 7249144 9061430 9838124 12297655 17216717 18122860 19676248 24595310 34433434 36245720 49190620 68866868 86083585 98381240 137733736 172167170 344334340 688668680