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679140 = 223257311
BaseRepresentation
bin10100101110011100100
31021111121100
42211303210
5133213030
622320100
75526000
oct2456344
91244540
10679140
11424280
12289030
131aa177
14139700
15d6360
hexa5ce4

679140 has 144 divisors (see below), whose sum is σ = 2620800. Its totient is φ = 141120.

The previous prime is 679127. The next prime is 679153. The reversal of 679140 is 41976.

679140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (679127) and next prime (679153).

It is a super-2 number, since 2×6791402 = 922462279200, which contains 22 as substring.

It is an unprimeable number.

679140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61735 + ... + 61745.

It is an arithmetic number, because the mean of its divisors is an integer number (18200).

2679140 is an apocalyptic number.

679140 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 679140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310400).

679140 is an abundant number, since it is smaller than the sum of its proper divisors (1941660).

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

679140 is a wasteful number, since it uses less digits than its factorization.

679140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 679140 is about 824.0995085546. The cubic root of 679140 is about 87.8995064951.

The spelling of 679140 in words is "six hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 49 55 60 63 66 70 77 84 90 98 99 105 110 126 132 140 147 154 165 180 196 198 210 220 231 245 252 294 308 315 330 343 385 396 420 441 462 490 495 539 588 630 660 686 693 735 770 882 924 980 990 1029 1078 1155 1260 1372 1386 1470 1540 1617 1715 1764 1980 2058 2156 2205 2310 2695 2772 2940 3087 3234 3430 3465 3773 4116 4410 4620 4851 5145 5390 6174 6468 6860 6930 7546 8085 8820 9702 10290 10780 11319 12348 13860 15092 15435 16170 18865 19404 20580 22638 24255 30870 32340 33957 37730 45276 48510 56595 61740 67914 75460 97020 113190 135828 169785 226380 339570 679140