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990528 = 26371167
BaseRepresentation
bin11110001110101000000
31212022202020
43301311000
5223144103
633121440
711263560
oct3616500
91768666
10990528
11617220
123b9280
13288b16
141bada0
15148753
hexf1d40

990528 has 112 divisors (see below), whose sum is σ = 3316224. Its totient is φ = 253440.

The previous prime is 990523. The next prime is 990529. The reversal of 990528 is 825099.

990528 = T57 + T58 + ... + T182.

990528 is a nontrivial binomial coefficient, being equal to C(1408, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9905282 = 1962291437568, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990523) by changing a digit.

990528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14751 + ... + 14817.

2990528 is an apocalyptic number.

990528 is the 1407-th triangular number and also the 704-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658112).

990528 is an abundant number, since it is smaller than the sum of its proper divisors (2325696).

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

990528 is a wasteful number, since it uses less digits than its factorization.

990528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 990528 is about 995.2527317219. The cubic root of 990528 is about 99.6832645122.

The spelling of 990528 in words is "nine hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 67 77 84 88 96 112 132 134 154 168 176 192 201 224 231 264 268 308 336 352 402 448 462 469 528 536 616 672 704 737 804 924 938 1056 1072 1232 1344 1407 1474 1608 1848 1876 2112 2144 2211 2464 2814 2948 3216 3696 3752 4288 4422 4928 5159 5628 5896 6432 7392 7504 8844 10318 11256 11792 12864 14784 15008 15477 17688 20636 22512 23584 30016 30954 35376 41272 45024 47168 61908 70752 82544 90048 123816 141504 165088 247632 330176 495264 990528