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20250672 = 24313172383
BaseRepresentation
bin100110101000…
…0000000110000
31102002211200220
41031100000300
520141010142
62002013040
7334061601
oct115200060
942084626
1020250672
11104816a2
126947180
134270560
142991da8
151ba02ec
hex1350030

20250672 has 160 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5541888.

The previous prime is 20250661. The next prime is 20250673. The reversal of 20250672 is 27605202.

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 (20250673) 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 31 ways as a sum of consecutive naturals, for example, 243943 + ... + 244025.

Almost surely, 220250672 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 20250672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

20250672 is an abundant number, since it is smaller than the sum of its proper divisors (42745296).

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

20250672 is a wasteful number, since it uses less digits than its factorization.

20250672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20250672 is about 4500.0746660472. The cubic root of 20250672 is about 272.5711039656.

Adding to 20250672 its reverse (27605202), we get a palindrome (47855874).

The spelling of 20250672 in words is "twenty million, two hundred fifty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 23 24 26 34 39 46 48 51 52 68 69 78 83 92 102 104 136 138 156 166 184 204 208 221 249 272 276 299 312 332 368 391 408 442 498 552 598 624 663 664 782 816 884 897 996 1079 1104 1173 1196 1326 1328 1411 1564 1768 1794 1909 1992 2158 2346 2392 2652 2822 3128 3237 3536 3588 3818 3984 4233 4316 4692 4784 5083 5304 5644 5727 6256 6474 7176 7636 8466 8632 9384 10166 10608 11288 11454 12948 14352 15249 15272 16932 17264 18343 18768 20332 22576 22908 24817 25896 30498 30544 32453 33864 36686 40664 45816 49634 51792 55029 60996 64906 67728 73372 74451 81328 91632 97359 99268 110058 121992 129812 146744 148902 194718 198536 220116 243984 259624 293488 297804 389436 397072 421889 440232 519248 595608 778872 843778 880464 1191216 1265667 1557744 1687556 2531334 3375112 5062668 6750224 10125336 20250672