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20460312 = 23322941239
BaseRepresentation
bin100111000001…
…1001100011000
31102111111021100
41032003030120
520214212222
62010311400
7335624025
oct116031430
942444240
1020460312
1110605154
126a28560
134314ac2
142a0854c
151be24ac
hex1383318

20460312 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 6397440.

The previous prime is 20460301. The next prime is 20460313. The reversal of 20460312 is 21306402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20460313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85489 + ... + 85727.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 220460312 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 20460312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

20460312 is an abundant number, since it is smaller than the sum of its proper divisors (38507688).

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

20460312 is a wasteful number, since it uses less digits than its factorization.

20460312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20460312 is about 4523.3076393277. The cubic root of 20460312 is about 273.5084514677.

Adding to 20460312 its reverse (21306402), we get a palindrome (41766714).

It can be divided in two parts, 204 and 60312, that added together give a square (60516 = 2462).

The spelling of 20460312 in words is "twenty million, four hundred sixty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 41 58 72 82 87 116 123 164 174 232 239 246 261 328 348 369 478 492 522 696 717 738 956 984 1044 1189 1434 1476 1912 2088 2151 2378 2868 2952 3567 4302 4756 5736 6931 7134 8604 9512 9799 10701 13862 14268 17208 19598 20793 21402 27724 28536 29397 39196 41586 42804 55448 58794 62379 78392 83172 85608 88191 117588 124758 166344 176382 235176 249516 284171 352764 499032 568342 705528 852513 1136684 1705026 2273368 2557539 3410052 5115078 6820104 10230156 20460312