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2088768 = 263112343
BaseRepresentation
bin111111101111101000000
310221010020210
413331331000
51013320033
6112434120
723516463
oct7757500
93833223
102088768
1111a7360
12848940
13581976
143c52da
152b3d63
hex1fdf40

2088768 has 112 divisors (see below), whose sum is σ = 6437376. Its totient is φ = 591360.

The previous prime is 2088733. The next prime is 2088787. The reversal of 2088768 is 8678802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48555 + ... + 48597.

22088768 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 2088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218688).

2088768 is an abundant number, since it is smaller than the sum of its proper divisors (4348608).

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

2088768 is a wasteful number, since it uses less digits than its factorization.

2088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 2088768 is about 1445.2570705587. The cubic root of 2088768 is about 127.8291992715.

It can be divided in two parts, 20 and 88768, that added together give a palindrome (88788).

The spelling of 2088768 in words is "two million, eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 43 44 46 48 64 66 69 86 88 92 96 129 132 138 172 176 184 192 253 258 264 276 344 352 368 473 506 516 528 552 688 704 736 759 946 989 1012 1032 1056 1104 1376 1419 1472 1518 1892 1978 2024 2064 2112 2208 2752 2838 2967 3036 3784 3956 4048 4128 4416 5676 5934 6072 7568 7912 8096 8256 10879 11352 11868 12144 15136 15824 16192 21758 22704 23736 24288 30272 31648 32637 43516 45408 47472 48576 63296 65274 87032 90816 94944 130548 174064 189888 261096 348128 522192 696256 1044384 2088768