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679919240 = 2357111316981
BaseRepresentation
bin101000100001101…
…011111010001000
31202101101110212002
4220201223322020
52343024403430
6151245010132
722564134560
oct5041537210
91671343762
10679919240
11319884430
1216b853948
13aab2b2a0
146642bda0
153ea57845
hex2886be88

679919240 has 128 divisors (see below), whose sum is σ = 2054142720. Its totient is φ = 195609600.

The previous prime is 679919209. The next prime is 679919243. The reversal of 679919240 is 42919976.

It is not an unprimeable number, because it can be changed into a prime (679919243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31550 + ... + 48530.

It is an arithmetic number, because the mean of its divisors is an integer number (16047990).

Almost surely, 2679919240 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 679919240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027071360).

679919240 is an abundant number, since it is smaller than the sum of its proper divisors (1374223480).

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

679919240 is a wasteful number, since it uses less digits than its factorization.

679919240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17023 (or 17019 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 679919240 is about 26075.2610725185. The cubic root of 679919240 is about 879.3311205079.

It can be divided in two parts, 679 and 919240, that added together give a palindrome (919919).

The spelling of 679919240 in words is "six hundred seventy-nine million, nine hundred nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 16981 20020 33962 40040 67924 84905 118867 135848 169810 186791 220753 237734 339620 373582 441506 475468 594335 679240 747164 883012 933955 950936 1103765 1188670 1307537 1494328 1545271 1766024 1867910 2207530 2377340 2428283 2615074 3090542 3735820 4415060 4754680 4856566 5230148 6181084 6537685 7471640 7726355 8830120 9713132 10460296 12141415 12362168 13075370 15452710 16997981 19426264 24282830 26150740 30905420 33995962 48565660 52301480 61810840 67991924 84989905 97131320 135983848 169979810 339959620 679919240