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5980440 = 2335194361
BaseRepresentation
bin10110110100000100011000
3102020211121210
4112310010120
53012333230
6332103120
7101555454
oct26640430
912224553
105980440
113415214
122004aa0
13131512b
14b19664
157d1eb0
hex5b4118

5980440 has 128 divisors (see below), whose sum is σ = 19641600. Its totient is φ = 1451520.

The previous prime is 5980439. The next prime is 5980453. The reversal of 5980440 is 440895.

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 = 5980398 and 5980407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98010 + ... + 98070.

It is an arithmetic number, because the mean of its divisors is an integer number (153450).

Almost surely, 25980440 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 5980440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9820800).

5980440 is an abundant number, since it is smaller than the sum of its proper divisors (13661160).

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

5980440 is a wasteful number, since it uses less digits than its factorization.

5980440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

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

The square root of 5980440 is about 2445.4938151629. The cubic root of 5980440 is about 181.5143838823.

The spelling of 5980440 in words is "five million, nine hundred eighty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 43 57 60 61 76 86 95 114 120 122 129 152 172 183 190 215 228 244 258 285 305 344 366 380 430 456 488 516 570 610 645 732 760 817 860 915 1032 1140 1159 1220 1290 1464 1634 1720 1830 2280 2318 2440 2451 2580 2623 3268 3477 3660 4085 4636 4902 5160 5246 5795 6536 6954 7320 7869 8170 9272 9804 10492 11590 12255 13115 13908 15738 16340 17385 19608 20984 23180 24510 26230 27816 31476 32680 34770 39345 46360 49020 49837 52460 62952 69540 78690 98040 99674 104920 139080 149511 157380 199348 249185 299022 314760 398696 498370 598044 747555 996740 1196088 1495110 1993480 2990220 5980440