[go: up one dir, main page]

Search a number
-
+
2148840 = 2332547127
BaseRepresentation
bin1000001100100111101000
311001011122200
420030213220
51022230330
6114020200
724156561
oct10144750
94034580
102148840
111238501
12877660
135a3105
143dd168
152c6a60
hex20c9e8

2148840 has 96 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 556416.

The previous prime is 2148803. The next prime is 2148857. The reversal of 2148840 is 488412.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16857 + ... + 16983.

It is an arithmetic number, because the mean of its divisors is an integer number (74880).

22148840 is an apocalyptic number.

2148840 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 2148840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240).

2148840 is an abundant number, since it is smaller than the sum of its proper divisors (5039640).

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

2148840 is a wasteful number, since it uses less digits than its factorization.

2148840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2148840 is about 1465.8922197761. The cubic root of 2148840 is about 129.0430719700.

It can be divided in two parts, 21488 and 40, that added together give a triangular number (21528 = T207).

The spelling of 2148840 in words is "two million, one hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 127 141 180 188 235 254 282 360 376 381 423 470 508 564 635 705 762 846 940 1016 1128 1143 1270 1410 1524 1692 1880 1905 2115 2286 2540 2820 3048 3384 3810 4230 4572 5080 5640 5715 5969 7620 8460 9144 11430 11938 15240 16920 17907 22860 23876 29845 35814 45720 47752 53721 59690 71628 89535 107442 119380 143256 179070 214884 238760 268605 358140 429768 537210 716280 1074420 2148840