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679014820 = 225118934679
BaseRepresentation
bin101000011110001…
…111000110100100
31202022200112020001
4220132033012210
52342311433240
6151213351044
722553350021
oct5036170644
91668615201
10679014820
11319316980
1216b498484
13aa8a2723
1466274548
153e92989a
hex2878f1a4

679014820 has 48 divisors (see below), whose sum is σ = 1573084800. Its totient is φ = 244133120.

The previous prime is 679014811. The next prime is 679014823. The reversal of 679014820 is 28410976.

It is a super-2 number, since 2×6790148202 = 922122251559264800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 679014820.

It is not an unprimeable number, because it can be changed into a prime (679014823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2241 + ... + 36919.

It is an arithmetic number, because the mean of its divisors is an integer number (32772600).

Almost surely, 2679014820 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 679014820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786542400).

679014820 is an abundant number, since it is smaller than the sum of its proper divisors (894069980).

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

679014820 is a wasteful number, since it uses less digits than its factorization.

679014820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34788 (or 34786 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 679014820 is about 26057.9128097398. The cubic root of 679014820 is about 878.9410557806.

The spelling of 679014820 in words is "six hundred seventy-nine million, fourteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 19580 34679 69358 138716 173395 346790 381469 693580 762938 1525876 1907345 3086431 3814690 6172862 7629380 12345724 15432155 30864310 33950741 61728620 67901482 135802964 169753705 339507410 679014820