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5938320 = 2435109227
BaseRepresentation
bin10110101001110010010000
3102011200211210
4112221302100
53010011240
6331140120
7101321613
oct26516220
912150753
105938320
113396603
121ba4640
1312cbbcb
14b0817a
157c4780
hex5a9c90

5938320 has 80 divisors (see below), whose sum is σ = 18659520. Its totient is φ = 1562112.

The previous prime is 5938319. The next prime is 5938327. The reversal of 5938320 is 238395.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5938327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26047 + ... + 26273.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 25938320 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 5938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329760).

5938320 is an abundant number, since it is smaller than the sum of its proper divisors (12721200).

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

5938320 is a wasteful number, since it uses less digits than its factorization.

5938320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5938320 is about 2436.8668408430. The cubic root of 5938320 is about 181.0872466859.

The spelling of 5938320 in words is "five million, nine hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 227 240 327 436 454 545 654 681 872 908 1090 1135 1308 1362 1635 1744 1816 2180 2270 2616 2724 3270 3405 3632 4360 4540 5232 5448 6540 6810 8720 9080 10896 13080 13620 18160 24743 26160 27240 49486 54480 74229 98972 123715 148458 197944 247430 296916 371145 395888 494860 593832 742290 989720 1187664 1484580 1979440 2969160 5938320