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689040 = 243351129
BaseRepresentation
bin10101000001110010000
31022000012000
42220032100
5134022130
622434000
75566602
oct2501620
91260160
10689040
11430760
12292900
131b1821
1413d172
15d9260
hexa8390

689040 has 160 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 161280.

The previous prime is 689033. The next prime is 689041. The reversal of 689040 is 40986.

It is a super-2 number, since 2×6890402 = 949552243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 688995 and 689013.

It is not an unprimeable number, because it can be changed into a prime (689041) by changing a digit.

689040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23746 + ... + 23774.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2689040 is an apocalyptic number.

689040 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 689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

689040 is an abundant number, since it is smaller than the sum of its proper divisors (1989360).

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

689040 is a wasteful number, since it uses less digits than its factorization.

689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 689040 is about 830.0843330650. The cubic root of 689040 is about 88.3245590747.

The spelling of 689040 in words is "six hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 33 36 40 44 45 48 54 55 58 60 66 72 80 87 88 90 99 108 110 116 120 132 135 144 145 165 174 176 180 198 216 220 232 240 261 264 270 290 297 319 330 348 360 396 432 435 440 464 495 522 528 540 580 594 638 660 696 720 783 792 870 880 957 990 1044 1080 1160 1188 1276 1305 1320 1392 1485 1566 1584 1595 1740 1914 1980 2088 2160 2320 2376 2552 2610 2640 2871 2970 3132 3190 3480 3828 3915 3960 4176 4752 4785 5104 5220 5742 5940 6264 6380 6960 7656 7830 7920 8613 9570 10440 11484 11880 12528 12760 14355 15312 15660 17226 19140 20880 22968 23760 25520 28710 31320 34452 38280 43065 45936 57420 62640 68904 76560 86130 114840 137808 172260 229680 344520 689040