Search a number
-
+
5893380 = 22325291129
BaseRepresentation
bin10110011110110100000100
3102002102012100
4112132310010
53002042010
6330152100
7101043603
oct26366404
912072170
105893380
113365869
121b82630
1312b460c
14ad5a3a
157b62c0
hex59ed04

5893380 has 72 divisors (see below), whose sum is σ = 18509400. Its totient is φ = 1516032.

The previous prime is 5893369. The next prime is 5893399. The reversal of 5893380 is 833985.

5893380 = T259 + T260 + ... + T374.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 5846724 = 216^2 + 2418^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4656 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (257075).

Almost surely, 25893380 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 5893380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9254700).

5893380 is an abundant number, since it is smaller than the sum of its proper divisors (12616020).

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

5893380 is a wasteful number, since it uses less digits than its factorization.

5893380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5893380 is about 2427.6284723985. The cubic root of 5893380 is about 180.6292789622.

It can be divided in two parts, 589 and 3380, that added together give a square (3969 = 632).

The spelling of 5893380 in words is "five million, eight hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1129 1305 1740 2258 2610 3387 4516 5220 5645 6774 10161 11290 13548 16935 20322 22580 32741 33870 40644 50805 65482 67740 98223 101610 130964 163705 196446 203220 294669 327410 392892 491115 589338 654820 982230 1178676 1473345 1964460 2946690 5893380