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20133312 = 263195519
BaseRepresentation
bin100110011001…
…1010111000000
31101212212201020
41030303113000
520123231222
61555305440
7333062463
oct114632700
941785636
1020133312
1110401501
1268ab280
13422c004
1429612da
151b7a65c
hex13335c0

20133312 has 56 divisors (see below), whose sum is σ = 56083200. Its totient is φ = 6356736.

The previous prime is 20133301. The next prime is 20133329. The reversal of 20133312 is 21333102.

It is a junction number, because it is equal to n+sod(n) for n = 20133291 and 20133300.

It is a congruent 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, 889 + ... + 6407.

Almost surely, 220133312 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 20133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28041600).

20133312 is an abundant number, since it is smaller than the sum of its proper divisors (35949888).

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

20133312 is a wasteful number, since it uses less digits than its factorization.

20133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 20133312 is about 4487.0159348948. The cubic root of 20133312 is about 272.0435339777.

Adding to 20133312 its reverse (21333102), we get a palindrome (41466414).

The spelling of 20133312 in words is "twenty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 5519 11038 16557 22076 33114 44152 66228 88304 104861 132456 176608 209722 264912 314583 353216 419444 529824 629166 838888 1059648 1258332 1677776 2516664 3355552 5033328 6711104 10066656 20133312