Search a number
-
+
1252414260 = 22325193111813
BaseRepresentation
bin100101010100110…
…0101001100110100
310020021122020101100
41022221211030310
510031104224020
6324135330100
743015226346
oct11251451464
93207566340
101252414260
11592a56409
122ab520930
1316c616736
14bc495296
1574e40a90
hex4aa65334

1252414260 has 144 divisors (see below), whose sum is σ = 4128284160. Its totient is φ = 306167040.

The previous prime is 1252414243. The next prime is 1252414283. The reversal of 1252414260 is 624142521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100114 + ... + 111926.

It is an arithmetic number, because the mean of its divisors is an integer number (28668640).

Almost surely, 21252414260 is an apocalyptic number.

1252414260 is a gapful number since it is divisible by the number (10) 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 1252414260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064142080).

1252414260 is an abundant number, since it is smaller than the sum of its proper divisors (2875869900).

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

1252414260 is a wasteful number, since it uses less digits than its factorization.

1252414260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1252414260 is about 35389.4653816641. The cubic root of 1252414260 is about 1077.9104144066.

Adding to 1252414260 its reverse (624142521), we get a palindrome (1876556781).

The spelling of 1252414260 in words is "one billion, two hundred fifty-two million, four hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 279 285 310 342 372 380 465 558 570 589 620 684 855 930 1116 1140 1178 1395 1710 1767 1860 2356 2790 2945 3420 3534 5301 5580 5890 7068 8835 10602 11780 11813 17670 21204 23626 26505 35340 35439 47252 53010 59065 70878 106020 106317 118130 141756 177195 212634 224447 236260 354390 366203 425268 448894 531585 673341 708780 732406 897788 1063170 1098609 1122235 1346682 1464812 1831015 2020023 2126340 2197218 2244470 2693364 3295827 3366705 3662030 4040046 4394436 4488940 5493045 6591654 6733410 6957857 7324060 8080092 10100115 10986090 13183308 13466820 13915714 16479135 20200230 20873571 21972180 27831428 32958270 34789285 40400460 41747142 62620713 65916540 69578570 83494284 104367855 125241426 139157140 208735710 250482852 313103565 417471420 626207130 1252414260