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20361460 = 2257279263
BaseRepresentation
bin100110110101…
…1000011110100
31102022110200011
41031223003310
520203031320
62004230004
7335032600
oct115530364
942273604
1020361460
1110547959
12699b304
1342abb02
1429c0500
151bc305a
hex136b0f4

20361460 has 72 divisors (see below), whose sum is σ = 50561280. Its totient is φ = 6866496.

The previous prime is 20361457. The next prime is 20361469. The reversal of 20361460 is 6416302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20361469) 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 23 ways as a sum of consecutive naturals, for example, 77289 + ... + 77551.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 220361460 is an apocalyptic number.

20361460 is a gapful number since it is divisible by the number (20) 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 20361460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280640).

20361460 is an abundant number, since it is smaller than the sum of its proper divisors (30199820).

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

20361460 is a wasteful number, since it uses less digits than its factorization.

20361460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 20361460 is about 4512.3674495768. The cubic root of 20361460 is about 273.0672637238.

Adding to 20361460 its reverse (6416302), we get a palindrome (26777762).

The spelling of 20361460 in words is "twenty million, three hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 79 98 140 158 196 245 263 316 395 490 526 553 790 980 1052 1106 1315 1580 1841 2212 2630 2765 3682 3871 5260 5530 7364 7742 9205 11060 12887 15484 18410 19355 20777 25774 36820 38710 41554 51548 64435 77420 83108 103885 128870 145439 207770 257740 290878 415540 581756 727195 1018073 1454390 2036146 2908780 4072292 5090365 10180730 20361460