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680494048 = 25132294339
BaseRepresentation
bin101000100011111…
…000001111100000
31202102110200100021
4220203320033200
52343201302143
6151305203224
722602050443
oct5043701740
91672420307
10680494048
1131a137283
1216ba90514
13aac9cb00
146653b65a
153eb1cced
hex288f83e0

680494048 has 72 divisors (see below), whose sum is σ = 1501075800. Its totient is φ = 303174144.

The previous prime is 680494039. The next prime is 680494057. The reversal of 680494048 is 840494086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (680494039) and next prime (680494057).

It is a junction number, because it is equal to n+sod(n) for n = 680493995 and 680494013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154663 + ... + 159001.

It is an arithmetic number, because the mean of its divisors is an integer number (20848275).

Almost surely, 2680494048 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 680494048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750537900).

680494048 is an abundant number, since it is smaller than the sum of its proper divisors (820581752).

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

680494048 is a wasteful number, since it uses less digits than its factorization.

680494048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 680494048 is about 26086.2808387857. The cubic root of 680494048 is about 879.5788480633.

The spelling of 680494048 in words is "six hundred eighty million, four hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 169 208 232 338 377 416 464 676 754 928 1352 1508 2704 3016 4339 4901 5408 6032 8678 9802 12064 17356 19604 34712 39208 56407 69424 78416 112814 125831 138848 156832 225628 251662 451256 503324 733291 902512 1006648 1466582 1635803 1805024 2013296 2933164 3271606 4026592 5866328 6543212 11732656 13086424 21265439 23465312 26172848 42530878 52345696 85061756 170123512 340247024 680494048