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20922496 = 277191229
BaseRepresentation
bin100111111010…
…0000010000000
31110100222021021
41033310002000
520324004441
62024235224
7342560350
oct117640200
943328237
1020922496
11108a0421
12700bb14
13444729a
142ac8b60
151c843d1
hex13f4080

20922496 has 64 divisors (see below), whose sum is σ = 50184000. Its totient is φ = 8487936.

The previous prime is 20922491. The next prime is 20922523. The reversal of 20922496 is 69422902.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20922491) 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, 16410 + ... + 17638.

It is an arithmetic number, because the mean of its divisors is an integer number (784125).

Almost surely, 220922496 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 20922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25092000).

20922496 is an abundant number, since it is smaller than the sum of its proper divisors (29261504).

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

20922496 is a wasteful number, since it uses less digits than its factorization.

20922496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 20922496 is about 4574.1114984224. Note that the first 3 decimals coincide. The cubic root of 20922496 is about 275.5525902483.

The spelling of 20922496 in words is "twenty million, nine hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 1229 2128 2432 2458 4256 4916 8512 8603 9832 17024 17206 19664 23351 34412 39328 46702 68824 78656 93404 137648 157312 163457 186808 275296 326914 373616 550592 653828 747232 1101184 1307656 1494464 2615312 2988928 5230624 10461248 20922496