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5320896 = 263737107
BaseRepresentation
bin10100010011000011000000
3101000022220020
4110103003000
52330232041
6310013440
763140550
oct24230300
911008806
105320896
113004739
121947280
131143b79
149c7160
15701866
hex5130c0

5320896 has 112 divisors (see below), whose sum is σ = 16678656. Its totient is φ = 1465344.

The previous prime is 5320883. The next prime is 5320921. The reversal of 5320896 is 6980235.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 49675 + ... + 49781.

Almost surely, 25320896 is an apocalyptic number.

5320896 is a gapful number since it is divisible by the number (56) 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 5320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339328).

5320896 is an abundant number, since it is smaller than the sum of its proper divisors (11357760).

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

5320896 is a wasteful number, since it uses less digits than its factorization.

5320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5320896 is about 2306.7067433898. The cubic root of 5320896 is about 174.5801745957.

It can be divided in two parts, 5320 and 896, that added together give a triangular number (6216 = T111).

The spelling of 5320896 in words is "five million, three hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 107 111 112 148 168 192 214 222 224 259 296 321 336 428 444 448 518 592 642 672 749 777 856 888 1036 1184 1284 1344 1498 1554 1712 1776 2072 2247 2368 2568 2996 3108 3424 3552 3959 4144 4494 5136 5992 6216 6848 7104 7918 8288 8988 10272 11877 11984 12432 15836 16576 17976 20544 23754 23968 24864 27713 31672 35952 47508 47936 49728 55426 63344 71904 83139 95016 110852 126688 143808 166278 190032 221704 253376 332556 380064 443408 665112 760128 886816 1330224 1773632 2660448 5320896