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20820688 = 247226557
BaseRepresentation
bin100111101101…
…1001011010000
31110011210121121
41033123023100
520312230223
62022132024
7341654500
oct117331320
943153547
1020820688
1110830989
126b81014
13440cb45
142a9da00
151c6415d
hex13db2d0

20820688 has 30 divisors (see below), whose sum is σ = 46927986. Its totient is φ = 8922816.

The previous prime is 20820649. The next prime is 20820689. The reversal of 20820688 is 88602802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 17405584 + 3415104 = 4172^2 + 1848^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20820689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12495 + ... + 14062.

Almost surely, 220820688 is an apocalyptic number.

20820688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20820688 is an abundant number, since it is smaller than the sum of its proper divisors (26107298).

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

20820688 is a wasteful number, since it uses less digits than its factorization.

20820688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26579 (or 26566 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 20820688 is about 4562.9692087499. The cubic root of 20820688 is about 275.1049208460.

The spelling of 20820688 in words is "twenty million, eight hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 26557 53114 106228 185899 212456 371798 424912 743596 1301293 1487192 2602586 2974384 5205172 10410344 20820688