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20346150 = 23521121959
BaseRepresentation
bin100110110011…
…1010100100110
31102021200200010
41031213110212
520202034100
62004031050
7334640136
oct115472446
942250603
1020346150
1110537400
126992486
1342a4b56
1429b8ac6
151bbd750
hex1367526

20346150 has 144 divisors (see below), whose sum is σ = 59371200. Its totient is φ = 4593600.

The previous prime is 20346121. The next prime is 20346187. The reversal of 20346150 is 5164302.

It is a happy number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 344821 + ... + 344879.

It is an arithmetic number, because the mean of its divisors is an integer number (412300).

Almost surely, 220346150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20346150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29685600).

20346150 is an abundant number, since it is smaller than the sum of its proper divisors (39025050).

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

20346150 is a wasteful number, since it uses less digits than its factorization.

20346150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20346150 is about 4510.6706818388. The cubic root of 20346150 is about 272.9988058287.

The spelling of 20346150 in words is "twenty million, three hundred forty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 59 66 75 95 110 114 118 121 150 165 177 190 209 242 275 285 295 330 354 363 418 475 550 570 590 605 627 649 726 825 885 950 1045 1121 1210 1254 1298 1425 1475 1650 1770 1815 1947 2090 2242 2299 2850 2950 3025 3135 3245 3363 3630 3894 4425 4598 5225 5605 6050 6270 6490 6726 6897 7139 8850 9075 9735 10450 11210 11495 12331 13794 14278 15675 16225 16815 18150 19470 21417 22990 24662 28025 31350 32450 33630 34485 35695 36993 42834 48675 56050 57475 61655 68970 71390 73986 84075 97350 107085 114950 123310 135641 168150 172425 178475 184965 214170 271282 308275 344850 356950 369930 406923 535425 616550 678205 813846 924825 1070850 1356410 1849650 2034615 3391025 4069230 6782050 10173075 20346150