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680607488 = 28111012393
BaseRepresentation
bin101000100100010…
…011111100000000
31202102200102221202
4220210103330000
52343213414423
6151311440332
722603032251
oct5044237400
91672612852
10680607488
1131a204530
1216bb260a8
13ab00c632
146656ab28
153eb41728
hex28913f00

680607488 has 72 divisors (see below), whose sum is σ = 1497360816. Its totient is φ = 306176000.

The previous prime is 680607481. The next prime is 680607527. The reversal of 680607488 is 884706086.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680607481) 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 7 ways as a sum of consecutive naturals, for example, 283220 + ... + 285612.

It is an arithmetic number, because the mean of its divisors is an integer number (20796678).

Almost surely, 2680607488 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 680607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748680408).

680607488 is an abundant number, since it is smaller than the sum of its proper divisors (816753328).

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

680607488 is a wasteful number, since it uses less digits than its factorization.

680607488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The square root of 680607488 is about 26088.4550711613. The cubic root of 680607488 is about 879.6277213198.

The spelling of 680607488 in words is "six hundred eighty million, six hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 704 808 1111 1408 1616 2222 2393 2816 3232 4444 4786 6464 8888 9572 12928 17776 19144 25856 26323 35552 38288 52646 71104 76576 105292 142208 153152 210584 241693 284416 306304 421168 483386 612608 842336 966772 1684672 1933544 2658623 3369344 3867088 5317246 6738688 7734176 10634492 15468352 21268984 30936704 42537968 61873408 85075936 170151872 340303744 680607488