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680027760 = 243255871609
BaseRepresentation
bin101000100010000…
…110011001110000
31202101120222201100
4220202012121300
52343041342020
6151251204400
722565066136
oct5042063160
91671528640
10680027760
11319948a15
1216b8a6700
13aab687b9
1466459756
153ea79a90
hex28886670

680027760 has 120 divisors (see below), whose sum is σ = 2289072240. Its totient is φ = 180919296.

The previous prime is 680027753. The next prime is 680027767. The reversal of 680027760 is 67720086.

It is an interprime number because it is at equal distance from previous prime (680027753) and next prime (680027767).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680027767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421836 + ... + 423444.

It is an arithmetic number, because the mean of its divisors is an integer number (19075602).

Almost surely, 2680027760 is an apocalyptic number.

680027760 is a gapful number since it is divisible by the number (60) 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 680027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144536120).

680027760 is an abundant number, since it is smaller than the sum of its proper divisors (1609044480).

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

680027760 is a wasteful number, since it uses less digits than its factorization.

680027760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 680027760 is about 26077.3418890806. The cubic root of 680027760 is about 879.3779005425.

The spelling of 680027760 in words is "six hundred eighty million, twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 587 720 1174 1609 1761 2348 2935 3218 3522 4696 4827 5283 5870 6436 7044 8045 8805 9392 9654 10566 11740 12872 14088 14481 16090 17610 19308 21132 23480 24135 25744 26415 28176 28962 32180 35220 38616 42264 46960 48270 52830 57924 64360 70440 72405 77232 84528 96540 105660 115848 128720 140880 144810 193080 211320 231696 289620 386160 422640 579240 944483 1158480 1888966 2833449 3777932 4722415 5666898 7555864 8500347 9444830 11333796 14167245 15111728 17000694 18889660 22667592 28334490 34001388 37779320 42501735 45335184 56668980 68002776 75558640 85003470 113337960 136005552 170006940 226675920 340013880 680027760