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680068048 = 241123433907
BaseRepresentation
bin101000100010010…
…000001111010000
31202101200000222111
4220202100033100
52343044134143
6151252115104
722565324452
oct5042201720
91671600874
10680068048
11319976210
1216b905a94
13aab80c3a
146646a2d2
153ea8699d
hex288903d0

680068048 has 80 divisors (see below), whose sum is σ = 1535187456. Its totient is φ = 288731520.

The previous prime is 680068021. The next prime is 680068087. The reversal of 680068048 is 840860086.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 680068048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172111 + ... + 176017.

Almost surely, 2680068048 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 680068048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767593728).

680068048 is an abundant number, since it is smaller than the sum of its proper divisors (855119408).

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

680068048 is a wasteful number, since it uses less digits than its factorization.

680068048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 680068048 is about 26078.1143490092. The cubic root of 680068048 is about 879.3952663420.

The spelling of 680068048 in words is "six hundred eighty million, sixty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 23 43 44 46 86 88 92 172 176 184 253 344 368 473 506 688 946 989 1012 1892 1978 2024 3784 3907 3956 4048 7568 7814 7912 10879 15628 15824 21758 31256 42977 43516 62512 85954 87032 89861 168001 171908 174064 179722 336002 343816 359444 672004 687632 718888 988471 1344008 1437776 1848011 1976942 2688016 3696022 3864023 3953884 7392044 7728046 7907768 14784088 15456092 15815536 29568176 30912184 42504253 61824368 85008506 170017012 340034024 680068048