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2830840 = 2351723181
BaseRepresentation
bin1010110011000111111000
312022211011221
422303013320
51211041330
6140401424
733030115
oct12630770
95284157
102830840
111663941
12b46274
1378166c
1453990c
153adb7a
hex2b31f8

2830840 has 64 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 1013760.

The previous prime is 2830837. The next prime is 2830843. The reversal of 2830840 is 480382.

It is an interprime number because it is at equal distance from previous prime (2830837) and next prime (2830843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830843) 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, 15550 + ... + 15730.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

22830840 is an apocalyptic number.

2830840 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 2830840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2830840 is an abundant number, since it is smaller than the sum of its proper divisors (4245320).

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

2830840 is a wasteful number, since it uses less digits than its factorization.

2830840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2830840 is about 1682.5100296878. The cubic root of 2830840 is about 141.4615593949.

The spelling of 2830840 in words is "two million, eight hundred thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 181 184 230 340 362 391 460 680 724 782 905 920 1448 1564 1810 1955 3077 3128 3620 3910 4163 6154 7240 7820 8326 12308 15385 15640 16652 20815 24616 30770 33304 41630 61540 70771 83260 123080 141542 166520 283084 353855 566168 707710 1415420 2830840