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20247216 = 24311311237
BaseRepresentation
bin100110100111…
…1001010110000
31102002122221220
41031033022300
520140402331
62001545040
7334045533
oct115171260
942078856
1020247216
111047a040
126945180
13426bb02
142990a1a
151b9e296
hex134f2b0

20247216 has 80 divisors (see below), whose sum is σ = 58948608. Its totient is φ = 5932800.

The previous prime is 20247211. The next prime is 20247239. The reversal of 20247216 is 61274202.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20247211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15750 + ... + 16986.

Almost surely, 220247216 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 20247216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29474304).

20247216 is an abundant number, since it is smaller than the sum of its proper divisors (38701392).

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

20247216 is a wasteful number, since it uses less digits than its factorization.

20247216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20247216 is about 4499.6906560340. The cubic root of 20247216 is about 272.5555973308. Note that the first 4 decimals are identical.

The spelling of 20247216 in words is "twenty million, two hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1237 1364 1488 2046 2474 2728 3711 4092 4948 5456 7422 8184 9896 13607 14844 16368 19792 27214 29688 38347 40821 54428 59376 76694 81642 108856 115041 153388 163284 217712 230082 306776 326568 421817 460164 613552 653136 843634 920328 1265451 1687268 1840656 2530902 3374536 5061804 6749072 10123608 20247216