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20836992 = 273114933
BaseRepresentation
bin100111101111…
…1001010000000
31110012121222110
41033133022000
520313240432
62022335320
7342053151
oct117371200
943177873
1020836992
1110842160
126b8a540
1344173a7
142aa5928
151c68dcc
hex13df280

20836992 has 64 divisors (see below), whose sum is σ = 60392160. Its totient is φ = 6312960.

The previous prime is 20836973. The next prime is 20836997. The reversal of 20836992 is 29963802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20836992.

It is not an unprimeable number, because it can be changed into a prime (20836997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1758 + ... + 6690.

Almost surely, 220836992 is an apocalyptic number.

20836992 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 20836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30196080).

20836992 is an abundant number, since it is smaller than the sum of its proper divisors (39555168).

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

20836992 is a wasteful number, since it uses less digits than its factorization.

20836992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 20836992 is about 4564.7554151345. The cubic root of 20836992 is about 275.1767106666.

The spelling of 20836992 in words is "twenty million, eight hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4933 9866 14799 19732 29598 39464 54263 59196 78928 108526 118392 157856 162789 217052 236784 315712 325578 434104 473568 631424 651156 868208 947136 1302312 1736416 1894272 2604624 3472832 5209248 6945664 10418496 20836992