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689232040 = 235725932
BaseRepresentation
bin101001000101001…
…101100010101000
31210000220121121121
4221011031202220
52402420411130
6152220345024
723036242600
oct5105154250
91700817547
10689232040
11324065262
121729a5174
13aca3c113
1467773c00
1540796d7a
hex2914d8a8

689232040 has 72 divisors (see below), whose sum is σ = 1807006590. Its totient is φ = 235909632.

The previous prime is 689231999. The next prime is 689232043. The reversal of 689232040 is 40232986.

It can be written as a sum of positive squares in 3 ways, for example, as 609201124 + 80030916 = 24682^2 + 8946^2 .

It is a junction number, because it is equal to n+sod(n) for n = 689231987 and 689232005.

It is not an unprimeable number, because it can be changed into a prime (689232043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1161984 + ... + 1162576.

Almost surely, 2689232040 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 689232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903503295).

689232040 is an abundant number, since it is smaller than the sum of its proper divisors (1117774550).

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

689232040 is an equidigital number, since it uses as much as digits as its factorization.

689232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 689232040 is about 26253.2291347179. The cubic root of 689232040 is about 883.3276385852.

The spelling of 689232040 in words is "six hundred eighty-nine million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 593 980 1186 1960 2372 2965 4151 4744 5930 8302 11860 16604 20755 23720 29057 33208 41510 58114 83020 116228 145285 166040 232456 290570 351649 581140 703298 1162280 1406596 1758245 2461543 2813192 3516490 4923086 7032980 9846172 12307715 14065960 17230801 19692344 24615430 34461602 49230860 68923204 86154005 98461720 137846408 172308010 344616020 689232040