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20123312 = 2411432659
BaseRepresentation
bin100110011000…
…0111010110000
31101212100222212
41030300322300
520122421222
61555151252
7333021356
oct114607260
941770885
1020123312
11103a4a40
1268a5528
1342275b1
14295b7d6
151b776e2
hex1330eb0

20123312 has 40 divisors (see below), whose sum is σ = 43538880. Its totient is φ = 8930880.

The previous prime is 20123293. The next prime is 20123339. The reversal of 20123312 is 21332102.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6239 + ... + 8897.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 220123312 is an apocalyptic number.

20123312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769440).

20123312 is an abundant number, since it is smaller than the sum of its proper divisors (23415568).

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

20123312 is a wasteful number, since it uses less digits than its factorization.

20123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 20123312 is about 4485.9014701618. The cubic root of 20123312 is about 271.9984861507.

Adding to 20123312 its reverse (21332102), we get a palindrome (41455414).

The spelling of 20123312 in words is "twenty million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 2659 3784 5318 7568 10636 21272 29249 42544 58498 114337 116996 228674 233992 457348 467984 914696 1257707 1829392 2515414 5030828 10061656 20123312