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20972736 = 263353229
BaseRepresentation
bin101000000000…
…0010011000000
31110110112012000
41100000103000
520332111421
62025304000
7343160001
oct120002300
943415160
1020972736
1110925144
127035000
134464105
142add1a8
151c94226
hex14004c0

20972736 has 112 divisors (see below), whose sum is σ = 63093600. Its totient is φ = 6829056.

The previous prime is 20972729. The next prime is 20972741. The reversal of 20972736 is 63727902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20972736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91470 + ... + 91698.

Almost surely, 220972736 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 20972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31546800).

20972736 is an abundant number, since it is smaller than the sum of its proper divisors (42120864).

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

20972736 is a wasteful number, since it uses less digits than its factorization.

20972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 20972736 is about 4579.5999825312. The cubic root of 20972736 is about 275.7729702027.

The spelling of 20972736 in words is "twenty million, nine hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 229 288 318 424 432 458 477 576 636 687 848 864 916 954 1272 1374 1431 1696 1728 1832 1908 2061 2544 2748 2862 3392 3664 3816 4122 5088 5496 5724 6183 7328 7632 8244 10176 10992 11448 12137 12366 14656 15264 16488 21984 22896 24274 24732 30528 32976 36411 43968 45792 48548 49464 65952 72822 91584 97096 98928 109233 131904 145644 194192 197856 218466 291288 327699 388384 395712 436932 582576 655398 776768 873864 1165152 1310796 1747728 2330304 2621592 3495456 5243184 6990912 10486368 20972736