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16990512 = 2437114597
BaseRepresentation
bin100000011010…
…0000100110000
31011222012121020
41000310010300
513322144022
61404055440
7264263010
oct100640460
934865536
1016990512
119655250
125834580
13369b676
142383c40
15175935c
hex1034130

16990512 has 80 divisors (see below), whose sum is σ = 54734592. Its totient is φ = 4412160.

The previous prime is 16990507. The next prime is 16990517. The reversal of 16990512 is 21509961.

It is an interprime number because it is at equal distance from previous prime (16990507) and next prime (16990517).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (16990517) 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 15 ways as a sum of consecutive naturals, for example, 1398 + ... + 5994.

Almost surely, 216990512 is an apocalyptic number.

16990512 is a gapful number since it is divisible by the number (12) 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 16990512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27367296).

16990512 is an abundant number, since it is smaller than the sum of its proper divisors (37744080).

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

16990512 is a wasteful number, since it uses less digits than its factorization.

16990512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 16990512 is about 4121.9548760267. The cubic root of 16990512 is about 257.0803142427.

It can be divided in two parts, 16 and 990512, that added together give a triangular number (990528 = T1407).

The spelling of 16990512 in words is "sixteen million, nine hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 4597 9194 13791 18388 27582 32179 36776 50567 55164 64358 73552 96537 101134 110328 128716 151701 193074 202268 220656 257432 303402 353969 386148 404536 514864 606804 707938 772296 809072 1061907 1213608 1415876 1544592 2123814 2427216 2831752 4247628 5663504 8495256 16990512