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5896128 = 263741107
BaseRepresentation
bin10110011111011111000000
3102002112222010
4112133133000
53002134003
6330212520
7101054610
oct26373700
912075863
105896128
113367937
121b84140
1312b5944
14ad6a40
157b7003
hex59f7c0

5896128 has 112 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 1628160.

The previous prime is 5896123. The next prime is 5896129. The reversal of 5896128 is 8216985.

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5896123) by changing a digit.

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, 55051 + ... + 55157.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 25896128 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 5896128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

5896128 is an abundant number, since it is smaller than the sum of its proper divisors (12538176).

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

5896128 is a wasteful number, since it uses less digits than its factorization.

5896128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 160 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 5896128 is about 2428.1943909004. The cubic root of 5896128 is about 180.6573495617.

The spelling of 5896128 in words is "five million, eight hundred ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 107 112 123 164 168 192 214 224 246 287 321 328 336 428 448 492 574 642 656 672 749 856 861 984 1148 1284 1312 1344 1498 1712 1722 1968 2247 2296 2568 2624 2996 3424 3444 3936 4387 4494 4592 5136 5992 6848 6888 7872 8774 8988 9184 10272 11984 13161 13776 17548 17976 18368 20544 23968 26322 27552 30709 35096 35952 47936 52644 55104 61418 70192 71904 92127 105288 122836 140384 143808 184254 210576 245672 280768 368508 421152 491344 737016 842304 982688 1474032 1965376 2948064 5896128