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680547744 = 253629173
BaseRepresentation
bin101000100100000…
…101010110100000
31202102120102000000
4220210011112200
52343210011434
6151310300000
722602363132
oct5044052640
91672512000
10680547744
1131a173658
1216bab7600
13aacbb396
1466553052
153eb2db99
hex289055a0

680547744 has 84 divisors (see below), whose sum is σ = 2008892466. Its totient is φ = 226841472.

The previous prime is 680547739. The next prime is 680547767. The reversal of 680547744 is 447745086.

680547744 is a `hidden beast` number, since 68 + 0 + 547 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 666259344 + 14288400 = 25812^2 + 3780^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 680547744.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8742 + ... + 37914.

Almost surely, 2680547744 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 680547744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004446233).

680547744 is an abundant number, since it is smaller than the sum of its proper divisors (1328344722).

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

680547744 is an equidigital number, since it uses as much as digits as its factorization.

680547744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29201 (or 29178 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 680547744 is about 26087.3100184745. The cubic root of 680547744 is about 879.6019825412.

The spelling of 680547744 in words is "six hundred eighty million, five hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 29173 58346 87519 116692 175038 233384 262557 350076 466768 525114 700152 787671 933536 1050228 1400304 1575342 2100456 2363013 2800608 3150684 4200912 4726026 6301368 7089039 8401824 9452052 12602736 14178078 18904104 21267117 25205472 28356156 37808208 42534234 56712312 75616416 85068468 113424624 170136936 226849248 340273872 680547744