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676232420 = 225192229409
BaseRepresentation
bin101000010011100…
…111110011100100
31202010110011111012
4220103213303210
52341103414140
6151034001352
722520611043
oct5023476344
91663404435
10676232420
11317796476
1216a576258
13aa13a136
1465b4c55a
153e57a265
hex284e7ce4

676232420 has 72 divisors (see below), whose sum is σ = 1508988600. Its totient is φ = 254513664.

The previous prime is 676232399. The next prime is 676232437. The reversal of 676232420 is 24232676.

676232420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 365344996 + 310887424 = 19114^2 + 17632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1653176 + ... + 1653584.

It is an arithmetic number, because the mean of its divisors is an integer number (20958175).

Almost surely, 2676232420 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 676232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754494300).

676232420 is an abundant number, since it is smaller than the sum of its proper divisors (832756180).

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

676232420 is a wasteful number, since it uses less digits than its factorization.

676232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 676232420 is about 26004.4692312687. The cubic root of 676232420 is about 877.7388662034.

The spelling of 676232420 in words is "six hundred seventy-six million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 361 380 409 458 722 818 916 1145 1444 1636 1805 2045 2290 3610 4090 4351 4580 7220 7771 8180 8702 15542 17404 21755 31084 38855 43510 77710 82669 87020 93661 147649 155420 165338 187322 295298 330676 374644 413345 468305 590596 738245 826690 936610 1476490 1653380 1779559 1873220 2952980 3559118 7118236 8897795 17795590 33811621 35591180 67623242 135246484 169058105 338116210 676232420