Search a number
-
+
2838840 = 233541577
BaseRepresentation
bin1010110101000100111000
312100020011020
422311010320
51211320330
6140502440
733062334
oct12650470
95306136
102838840
111669954
12b4aa20
137851b4
1453c7c4
153b1210
hex2b5138

2838840 has 64 divisors (see below), whose sum is σ = 8739360. Its totient is φ = 737280.

The previous prime is 2838827. The next prime is 2838841. The reversal of 2838840 is 488382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2838841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4632 + ... + 5208.

22838840 is an apocalyptic number.

2838840 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 2838840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369680).

2838840 is an abundant number, since it is smaller than the sum of its proper divisors (5900520).

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

2838840 is a wasteful number, since it uses less digits than its factorization.

2838840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2838840 is about 1684.8857528034. The cubic root of 2838840 is about 141.5946916201.

The spelling of 2838840 in words is "two million, eight hundred thirty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 577 615 820 984 1154 1230 1640 1731 2308 2460 2885 3462 4616 4920 5770 6924 8655 11540 13848 17310 23080 23657 34620 47314 69240 70971 94628 118285 141942 189256 236570 283884 354855 473140 567768 709710 946280 1419420 2838840