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20996688 = 2436171101
BaseRepresentation
bin101000000011…
…0001001010000
31110111202001010
41100012021100
520333343223
62030010520
7343316556
oct120061120
943452033
1020996688
1110941139
127046a40
134471c9b
142b07bd6
151c9b393
hex1406250

20996688 has 80 divisors (see below), whose sum is σ = 56460672. Its totient is φ = 6720000.

The previous prime is 20996687. The next prime is 20996713. The reversal of 20996688 is 88669902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20996681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207838 + ... + 207938.

Almost surely, 220996688 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 20996688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28230336).

20996688 is an abundant number, since it is smaller than the sum of its proper divisors (35463984).

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

20996688 is a wasteful number, since it uses less digits than its factorization.

20996688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 20996688 is about 4582.2143118802. The cubic root of 20996688 is about 275.8779128170.

The spelling of 20996688 in words is "twenty million, nine hundred ninety-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 71 101 122 142 183 202 213 244 284 303 366 404 426 488 568 606 732 808 852 976 1136 1212 1464 1616 1704 2424 2928 3408 4331 4848 6161 7171 8662 12322 12993 14342 17324 18483 21513 24644 25986 28684 34648 36966 43026 49288 51972 57368 69296 73932 86052 98576 103944 114736 147864 172104 207888 295728 344208 437431 874862 1312293 1749724 2624586 3499448 5249172 6998896 10498344 20996688