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20897536 = 281141181
BaseRepresentation
bin100111110110…
…1111100000000
31110022201000211
41033231330000
520322210121
62023523504
7342424522
oct117557400
943281024
1020897536
11108836a0
126bb9594
134438b0a
142abda12
151c7bce1
hex13edf00

20897536 has 72 divisors (see below), whose sum is σ = 46873008. Its totient is φ = 9216000.

The previous prime is 20897533. The next prime is 20897543. The reversal of 20897536 is 63579802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20897533) 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 7 ways as a sum of consecutive naturals, for example, 115366 + ... + 115546.

It is an arithmetic number, because the mean of its divisors is an integer number (651014).

It is a vampire number, since it can be written as 36085792 (with its own digits).

Almost surely, 220897536 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 20897536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436504).

20897536 is an abundant number, since it is smaller than the sum of its proper divisors (25975472).

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

20897536 is a wasteful number, since it uses less digits than its factorization.

20897536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 20897536 is about 4571.3822854800. The cubic root of 20897536 is about 275.4429709263.

The spelling of 20897536 in words is "twenty million, eight hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 181 256 328 352 362 451 656 704 724 902 1312 1408 1448 1804 1991 2624 2816 2896 3608 3982 5248 5792 7216 7421 7964 10496 11584 14432 14842 15928 23168 28864 29684 31856 46336 57728 59368 63712 81631 115456 118736 127424 163262 237472 254848 326524 474944 509696 653048 949888 1306096 1899776 2612192 5224384 10448768 20897536