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19869056 = 271723397
BaseRepresentation
bin100101111001…
…0110110000000
31101101110012222
41023302312000
520041302211
61545510212
7330612164
oct113626600
941343188
1019869056
1110240a09
1267a2368
13416894c
1428d2ca4
151b271db
hex12f2d80

19869056 has 64 divisors (see below), whose sum is σ = 43843680. Its totient is φ = 8921088.

The previous prime is 19869049. The next prime is 19869061. The reversal of 19869056 is 65096891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×198690562 = 789558772662272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19868998 and 19869016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49850 + ... + 50246.

Almost surely, 219869056 is an apocalyptic number.

19869056 is a gapful number since it is divisible by the number (16) 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 19869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21921840).

19869056 is an abundant number, since it is smaller than the sum of its proper divisors (23974624).

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

19869056 is a wasteful number, since it uses less digits than its factorization.

19869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The square root of 19869056 is about 4457.4719292442. The cubic root of 19869056 is about 270.8480695940.

The spelling of 19869056 in words is "nineteen million, eight hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 397 544 736 782 794 1088 1472 1564 1588 2176 2944 3128 3176 6256 6352 6749 9131 12512 12704 13498 18262 25024 25408 26996 36524 50048 50816 53992 73048 107984 146096 155227 215968 292192 310454 431936 584384 620908 863872 1168768 1241816 2483632 4967264 9934528 19869056