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680398920 = 233353717027
BaseRepresentation
bin101000100011100…
…001000001001000
31202102021211212000
4220203201001020
52343140231140
6151303151000
722601203215
oct5043410110
91672254760
10680398920
1131a081863
1216ba45460
13aac68716
1466514b0c
153eaeea30
hex288e1048

680398920 has 128 divisors (see below), whose sum is σ = 2329430400. Its totient is φ = 176525568.

The previous prime is 680398913. The next prime is 680398921. The reversal of 680398920 is 29893086.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (680398921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31447 + ... + 48473.

It is an arithmetic number, because the mean of its divisors is an integer number (18198675).

Almost surely, 2680398920 is an apocalyptic number.

680398920 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 680398920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164715200).

680398920 is an abundant number, since it is smaller than the sum of its proper divisors (1649031480).

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

680398920 is a wasteful number, since it uses less digits than its factorization.

680398920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17084 (or 17074 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 680398920 is about 26084.4574411660. The cubic root of 680398920 is about 879.5378599625.

The spelling of 680398920 in words is "six hundred eighty million, three hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 17027 19980 34054 39960 51081 68108 85135 102162 136216 153243 170270 204324 255405 306486 340540 408648 459729 510810 612972 629999 681080 766215 919458 1021620 1225944 1259998 1532430 1838916 1889997 2043240 2298645 2519996 3064860 3149995 3677832 3779994 4597290 5039992 5669991 6129720 6299990 7559988 9194580 9449985 11339982 12599980 15119976 17009973 18389160 18899970 22679964 25199960 28349955 34019946 37799940 45359928 56699910 68039892 75599880 85049865 113399820 136079784 170099730 226799640 340199460 680398920