Base | Representation |
---|---|
bin | 101001001010110… |
… | …110001010010100 |
3 | 1210010200122211000 |
4 | 221022312022110 |
5 | 2403310143030 |
6 | 152312143300 |
7 | 23054634162 |
oct | 5112661224 |
9 | 1703618730 |
10 | 690709140 |
11 | 324984000 |
12 | 173397b30 |
13 | b0138544 |
14 | 67a3a232 |
15 | 40989860 |
hex | 292b6294 |
690709140 has 288 divisors, whose sum is σ = 2442303360. Its totient is φ = 162043200.
The previous prime is 690709139. The next prime is 690709141. The reversal of 690709140 is 41907096.
It is an interprime number because it is at equal distance from previous prime (690709139) and next prime (690709141).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 690709095 and 690709104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (690709141) 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 95 ways as a sum of consecutive naturals, for example, 22280925 + ... + 22280955.
It is an arithmetic number, because the mean of its divisors is an integer number (8480220).
Almost surely, 2690709140 is an apocalyptic number.
690709140 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 690709140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221151680).
690709140 is an abundant number, since it is smaller than the sum of its proper divisors (1751594220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
690709140 is a wasteful number, since it uses less digits than its factorization.
690709140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 13608, while the sum is 36.
The square root of 690709140 is about 26281.3458559489. The cubic root of 690709140 is about 883.9582110696.
It can be divided in two parts, 69070 and 9140, that added together give a triangular number (78210 = T395).
The spelling of 690709140 in words is "six hundred ninety million, seven hundred nine thousand, one hundred forty".
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