[go: up one dir, main page]

Search a number
-
+
2381280 = 253511241
BaseRepresentation
bin1001000101010111100000
311110222111120
421011113200
51102200110
6123012240
726145336
oct11052740
94428446
102381280
111387100
1296a080
13654b55
1445db56
15320870
hex2455e0

2381280 has 144 divisors (see below), whose sum is σ = 8446032. Its totient is φ = 563200.

The previous prime is 2381273. The next prime is 2381287. The reversal of 2381280 is 821832.

It is an interprime number because it is at equal distance from previous prime (2381273) and next prime (2381287).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2381280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381287) 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, 58060 + ... + 58100.

It is an arithmetic number, because the mean of its divisors is an integer number (58653).

22381280 is an apocalyptic number.

2381280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223016).

2381280 is an abundant number, since it is smaller than the sum of its proper divisors (6064752).

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

2381280 is a wasteful number, since it uses less digits than its factorization.

2381280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2381280 is about 1543.1396566740. The cubic root of 2381280 is about 133.5375758665.

The spelling of 2381280 in words is "two million, three hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 41 44 48 55 60 66 80 82 88 96 110 120 121 123 132 160 164 165 176 205 220 240 242 246 264 328 330 352 363 410 440 451 480 484 492 528 605 615 656 660 726 820 880 902 968 984 1056 1210 1230 1312 1320 1353 1452 1640 1760 1804 1815 1936 1968 2255 2420 2460 2640 2706 2904 3280 3608 3630 3872 3936 4510 4840 4920 4961 5280 5412 5808 6560 6765 7216 7260 9020 9680 9840 9922 10824 11616 13530 14432 14520 14883 18040 19360 19680 19844 21648 24805 27060 29040 29766 36080 39688 43296 49610 54120 58080 59532 72160 74415 79376 99220 108240 119064 148830 158752 198440 216480 238128 297660 396880 476256 595320 793760 1190640 2381280