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16927056 = 243437353
BaseRepresentation
bin100000010010…
…0100101010000
31011211222120000
41000210211100
513313131211
61402450000
7263610006
oct100444520
934758500
1016927056
119611603
125803900
133678813
142368a76
151745656
hex1024950

16927056 has 100 divisors (see below), whose sum is σ = 50458452. Its totient is φ = 5474304.

The previous prime is 16927051. The next prime is 16927063. The reversal of 16927056 is 65072961.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 5475600 = 3384^2 + 2340^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 16927056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16927051) 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 19 ways as a sum of consecutive naturals, for example, 47776 + ... + 48128.

Almost surely, 216927056 is an apocalyptic number.

16927056 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 16927056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25229226).

16927056 is an abundant number, since it is smaller than the sum of its proper divisors (33531396).

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

16927056 is a wasteful number, since it uses less digits than its factorization.

16927056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 16927056 is about 4114.2503569909. The cubic root of 16927056 is about 256.7598679534.

It can be divided in two parts, 169 and 27056, that added together give a square (27225 = 1652).

The spelling of 16927056 in words is "sixteen million, nine hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 353 432 444 592 648 666 706 888 999 1059 1296 1332 1412 1776 1998 2118 2664 2824 2997 3177 3996 4236 5328 5648 5994 6354 7992 8472 9531 11988 12708 13061 15984 16944 19062 23976 25416 26122 28593 38124 39183 47952 50832 52244 57186 76248 78366 104488 114372 117549 152496 156732 208976 228744 235098 313464 352647 457488 470196 626928 705294 940392 1057941 1410588 1880784 2115882 2821176 4231764 5642352 8463528 16927056