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20938512 = 2437101617
BaseRepresentation
bin100111111011…
…1111100010000
31110101210020110
41033313330100
520330013022
62024441320
7342655140
oct117677420
943353213
1020938512
1110901461
127019240
13445166a
142ad0920
151c8900c
hex13f7f10

20938512 has 80 divisors (see below), whose sum is σ = 62531712. Its totient is φ = 5913600.

The previous prime is 20938507. The next prime is 20938529. The reversal of 20938512 is 21583902.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20938512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33628 + ... + 34244.

Almost surely, 220938512 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 20938512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31265856).

20938512 is an abundant number, since it is smaller than the sum of its proper divisors (41593200).

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

20938512 is a wasteful number, since it uses less digits than its factorization.

20938512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 20938512 is about 4575.8618860276. The cubic root of 20938512 is about 275.6228834017.

The spelling of 20938512 in words is "twenty million, nine hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 617 707 808 1212 1234 1414 1616 1851 2121 2424 2468 2828 3702 4242 4319 4848 4936 5656 7404 8484 8638 9872 11312 12957 14808 16968 17276 25914 29616 33936 34552 51828 62317 69104 103656 124634 186951 207312 249268 373902 436219 498536 747804 872438 997072 1308657 1495608 1744876 2617314 2991216 3489752 5234628 6979504 10469256 20938512