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5982240 = 2535112103
BaseRepresentation
bin10110110100100000100000
3102020221002110
4112310200200
53012412430
6332115320
7101563635
oct26644040
912227073
105982240
113416600
122005b40
131315bb4
14b1a18c
157d27b0
hex5b4820

5982240 has 144 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1436160.

The previous prime is 5982239. The next prime is 5982241. The reversal of 5982240 is 422895.

5982240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5982239) and next prime (5982241).

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

It is a junction number, because it is equal to n+sod(n) for n = 5982198 and 5982207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5982241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58029 + ... + 58131.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 25982240 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 5982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

5982240 is an abundant number, since it is smaller than the sum of its proper divisors (14931744).

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

5982240 is a wasteful number, since it uses less digits than its factorization.

5982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5982240 is about 2445.8618113050. The cubic root of 5982240 is about 181.5325928612.

The spelling of 5982240 in words is "five million, nine hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 103 110 120 121 132 160 165 176 206 220 240 242 264 309 330 352 363 412 440 480 484 515 528 605 618 660 726 824 880 968 1030 1056 1133 1210 1236 1320 1452 1545 1648 1760 1815 1936 2060 2266 2420 2472 2640 2904 3090 3296 3399 3630 3872 4120 4532 4840 4944 5280 5665 5808 6180 6798 7260 8240 9064 9680 9888 11330 11616 12360 12463 13596 14520 16480 16995 18128 19360 22660 24720 24926 27192 29040 33990 36256 37389 45320 49440 49852 54384 58080 62315 67980 74778 90640 99704 108768 124630 135960 149556 181280 186945 199408 249260 271920 299112 373890 398816 498520 543840 598224 747780 997040 1196448 1495560 1994080 2991120 5982240