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20349612 = 22321741811
BaseRepresentation
bin100110110100…
…0001010101100
31102021212102100
41031220022230
520202141422
62004055100
7334653213
oct115501254
942255370
1020349612
1110539a68
126994490
1342a65ba
1429ba07a
151bbe7ac
hex13682ac

20349612 has 72 divisors (see below), whose sum is σ = 55862352. Its totient is φ = 6220800.

The previous prime is 20349611. The next prime is 20349613. The reversal of 20349612 is 21694302.

20349612 is a `hidden beast` number, since 2 + 0 + 3 + 49 + 612 = 666.

It is an interprime number because it is at equal distance from previous prime (20349611) and next prime (20349613).

It is not an unprimeable number, because it can be changed into a prime (20349611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24687 + ... + 25497.

It is an arithmetic number, because the mean of its divisors is an integer number (775866).

Almost surely, 220349612 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 20349612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27931176).

20349612 is an abundant number, since it is smaller than the sum of its proper divisors (35512740).

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

20349612 is a wasteful number, since it uses less digits than its factorization.

20349612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 874 counting only the distinct ones).

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

The square root of 20349612 is about 4511.0544221944. The cubic root of 20349612 is about 273.0142889917.

The spelling of 20349612 in words is "twenty million, three hundred forty-nine thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 811 1394 1476 1622 2091 2433 2788 3244 4182 4866 6273 7299 8364 9732 12546 13787 14598 25092 27574 29196 33251 41361 55148 66502 82722 99753 124083 133004 165444 199506 248166 299259 399012 496332 565267 598518 1130534 1197036 1695801 2261068 3391602 5087403 6783204 10174806 20349612