Search a number
-
+
2881840 = 2451317163
BaseRepresentation
bin1010111111100100110000
312102102010211
422333210300
51214204330
6141433504
733331603
oct12774460
95372124
102881840
111699195
12b6b894
1379b940
1455033a
153bdd2a
hex2bf930

2881840 has 80 divisors (see below), whose sum is σ = 7687008. Its totient is φ = 995328.

The previous prime is 2881799. The next prime is 2881859. The reversal of 2881840 is 481882.

2881840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17599 + ... + 17761.

22881840 is an apocalyptic number.

2881840 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 2881840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843504).

2881840 is an abundant number, since it is smaller than the sum of its proper divisors (4805168).

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

2881840 is a wasteful number, since it uses less digits than its factorization.

2881840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 2881840 is about 1697.5983034864. The cubic root of 2881840 is about 142.3060251907.

It can be divided in two parts, 2881 and 840, that added together give a square (3721 = 612).

The spelling of 2881840 in words is "two million, eight hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 163 170 208 221 260 272 326 340 442 520 652 680 815 884 1040 1105 1304 1360 1630 1768 2119 2210 2608 2771 3260 3536 4238 4420 5542 6520 8476 8840 10595 11084 13040 13855 16952 17680 21190 22168 27710 33904 36023 42380 44336 55420 72046 84760 110840 144092 169520 180115 221680 288184 360230 576368 720460 1440920 2881840