Search a number
-
+
25671330 = 234541773
BaseRepresentation
bin110000111101…
…1011010100010
31210022020110000
41201323122202
523032440310
62314120430
7431126346
oct141733242
953266400
1025671330
1113544283
128720116
13541a949
1435a3626
1523c14c0
hex187b6a2

25671330 has 80 divisors (see below), whose sum is σ = 70802424. Its totient is φ = 6670080.

The previous prime is 25671329. The next prime is 25671361. The reversal of 25671330 is 3317652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7241481 + 18429849 = 2691^2 + 4293^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25671294 and 25671303.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32824 + ... + 33596.

Almost surely, 225671330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25671330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35401212).

25671330 is an abundant number, since it is smaller than the sum of its proper divisors (45131094).

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

25671330 is a wasteful number, since it uses less digits than its factorization.

25671330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 25671330 is about 5066.6882674978. The cubic root of 25671330 is about 294.9959972645.

Adding to 25671330 its reverse (3317652), we get a palindrome (28988982).

The spelling of 25671330 in words is "twenty-five million, six hundred seventy-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 773 810 1107 1230 1546 1845 2214 2319 3321 3690 3865 4638 5535 6642 6957 7730 11070 11595 13914 16605 20871 23190 31693 33210 34785 41742 62613 63386 69570 95079 104355 125226 158465 190158 208710 285237 313065 316930 475395 570474 626130 855711 950790 1426185 1711422 2567133 2852370 4278555 5134266 8557110 12835665 25671330