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16986996 = 22341337109
BaseRepresentation
bin100000011001…
…1001101110100
31011222000210000
41000303031310
513322040441
61404031300
7264246525
oct100631564
934860700
1016986996
119652644
125832530
133699ba0
14238284c
1517582b6
hex1033374

16986996 has 120 divisors (see below), whose sum is σ = 49566440. Its totient is φ = 5038848.

The previous prime is 16986989. The next prime is 16987001. The reversal of 16986996 is 69968961.

It can be written as a sum of positive squares in 4 ways, for example, as 4284900 + 12702096 = 2070^2 + 3564^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 155790 + ... + 155898.

Almost surely, 216986996 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 16986996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24783220).

16986996 is an abundant number, since it is smaller than the sum of its proper divisors (32579444).

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

16986996 is a wasteful number, since it uses less digits than its factorization.

16986996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 16986996 is about 4121.5283572966. The cubic root of 16986996 is about 257.0625797027.

The spelling of 16986996 in words is "sixteen million, nine hundred eighty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 81 108 109 111 117 148 156 162 218 222 234 324 327 333 351 436 444 468 481 654 666 702 962 981 999 1053 1308 1332 1404 1417 1443 1924 1962 1998 2106 2834 2886 2943 2997 3924 3996 4033 4212 4251 4329 5668 5772 5886 5994 8066 8502 8658 8829 11772 11988 12099 12753 12987 16132 17004 17316 17658 24198 25506 25974 35316 36297 38259 38961 48396 51012 51948 52429 72594 76518 77922 104858 108891 114777 145188 153036 155844 157287 209716 217782 229554 314574 326673 435564 459108 471861 629148 653346 943722 1306692 1415583 1887444 2831166 4246749 5662332 8493498 16986996