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20350350 = 23252411103
BaseRepresentation
bin100110110100…
…0010110001110
31102021220102200
41031220112032
520202202400
62004102330
7334655316
oct115502616
942256380
1020350350
111053a579
1269949a6
1342a6a37
1429ba446
151bbeb00
hex136858e

20350350 has 72 divisors (see below), whose sum is σ = 56058912. Its totient is φ = 5289600.

The previous prime is 20350289. The next prime is 20350367. The reversal of 20350350 is 5305302.

It is a super-3 number, since 3×203503503 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17899 + ... + 19001.

It is an arithmetic number, because the mean of its divisors is an integer number (778596).

Almost surely, 220350350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20350350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28029456).

20350350 is an abundant number, since it is smaller than the sum of its proper divisors (35708562).

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

20350350 is a wasteful number, since it uses less digits than its factorization.

20350350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 20350350 is about 4511.1362205103. The cubic root of 20350350 is about 273.0175893348.

Adding to 20350350 its reverse (5305302), we get a palindrome (25655652).

The spelling of 20350350 in words is "twenty million, three hundred fifty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1103 1230 1845 2050 2206 3075 3309 3690 5515 6150 6618 9225 9927 11030 16545 18450 19854 27575 33090 45223 49635 55150 82725 90446 99270 135669 165450 226115 248175 271338 407007 452230 496350 678345 814014 1130575 1356690 2035035 2261150 3391725 4070070 6783450 10175175 20350350