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20349126 = 2327295569
BaseRepresentation
bin100110110100…
…0000011000110
31102021211202100
41031220003012
520202133001
62004052530
7334651620
oct115500306
942254670
1020349126
1110539666
126994146
1342a6305
1429b9c10
151bbe586
hex13680c6

20349126 has 48 divisors (see below), whose sum is σ = 52135200. Its totient is φ = 5612544.

The previous prime is 20349107. The next prime is 20349127. The reversal of 20349126 is 62194302.

20349126 = 22542 + 22552 + ... + 22572.

It is a self number, because there is not a number n which added to its sum of digits gives 20349126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20349127) 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, 870 + ... + 6438.

It is an arithmetic number, because the mean of its divisors is an integer number (1086150).

Almost surely, 220349126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20349126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26067600).

20349126 is an abundant number, since it is smaller than the sum of its proper divisors (31786074).

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

20349126 is a wasteful number, since it uses less digits than its factorization.

20349126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20349126 is about 4511.0005542008. Note that the first 3 decimals coincide. The cubic root of 20349126 is about 273.0121155514.

The spelling of 20349126 in words is "twenty million, three hundred forty-nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 5569 11138 16707 33414 38983 50121 77966 100242 116949 161501 233898 323002 350847 484503 701694 969006 1130507 1453509 2261014 2907018 3391521 6783042 10174563 20349126