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20750268 = 223711171321
BaseRepresentation
bin100111100100…
…1111110111100
31110001020000110
41033021332330
520303002033
62020430020
7341242260
oct117117674
943036013
1020750268
1110792a90
126b48310
1343b6a86
142a820a0
151c4d363
hex13c9fbc

20750268 has 96 divisors (see below), whose sum is σ = 63963648. Its totient is φ = 5068800.

The previous prime is 20750267. The next prime is 20750273. The reversal of 20750268 is 86205702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20750263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15048 + ... + 16368.

It is an arithmetic number, because the mean of its divisors is an integer number (666288).

Almost surely, 220750268 is an apocalyptic number.

20750268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20750268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981824).

20750268 is an abundant number, since it is smaller than the sum of its proper divisors (43213380).

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

20750268 is a wasteful number, since it uses less digits than its factorization.

20750268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 20750268 is about 4555.2462062988. The cubic root of 20750268 is about 274.7944160452.

The spelling of 20750268 in words is "twenty million, seven hundred fifty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 714 748 924 1122 1309 1321 1428 2244 2618 2642 3927 3963 5236 5284 7854 7926 9247 14531 15708 15852 18494 22457 27741 29062 36988 43593 44914 55482 58124 67371 87186 89828 101717 110964 134742 157199 174372 203434 247027 269484 305151 314398 406868 471597 494054 610302 628796 741081 943194 988108 1220604 1482162 1729189 1886388 2964324 3458378 5187567 6916756 10375134 20750268