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16689888 = 253447137
BaseRepresentation
bin111111101010…
…101011100000
31011101221020000
4333222223200
513233034023
61353420000
7261601365
oct77525340
934357200
1016689888
11946a3a6
12570a600
1335c4897
14230646c
1516ea243
hexfeaae0

16689888 has 120 divisors (see below), whose sum is σ = 50494752. Its totient is φ = 5405184.

The previous prime is 16689887. The next prime is 16689913. The reversal of 16689888 is 88898661.

It is a super-2 number, since 2×166898882 = 557104722905088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16689887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121756 + ... + 121892.

Almost surely, 216689888 is an apocalyptic number.

16689888 is a gapful number since it is divisible by the number (18) 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 16689888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25247376).

16689888 is an abundant number, since it is smaller than the sum of its proper divisors (33804864).

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

16689888 is a wasteful number, since it uses less digits than its factorization.

16689888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 16689888 is about 4085.3259355895. The cubic root of 16689888 is about 255.5550539233. Note that the first 3 decimals are identical.

The spelling of 16689888 in words is "sixteen million, six hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 137 141 144 162 188 216 274 282 288 324 376 411 423 432 548 564 648 752 822 846 864 1096 1128 1233 1269 1296 1504 1644 1692 2192 2256 2466 2538 2592 3288 3384 3699 3807 4384 4512 4932 5076 6439 6576 6768 7398 7614 9864 10152 11097 12878 13152 13536 14796 15228 19317 19728 20304 22194 25756 29592 30456 38634 39456 40608 44388 51512 57951 59184 60912 77268 88776 103024 115902 118368 121824 154536 173853 177552 206048 231804 309072 347706 355104 463608 521559 618144 695412 927216 1043118 1390824 1854432 2086236 2781648 4172472 5563296 8344944 16689888