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2996840 = 2357211139
BaseRepresentation
bin1011011011101001101000
312122020220002
423123221220
51231344330
6144122132
734321100
oct13335150
95566802
102996840
111767630
121006348
1380c0a2
14580200
153e2e45
hex2dba68

2996840 has 96 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 927360.

The previous prime is 2996827. The next prime is 2996857. The reversal of 2996840 is 486992.

It is a junction number, because it is equal to n+sod(n) for n = 2996794 and 2996803.

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, 21491 + ... + 21629.

It is an arithmetic number, because the mean of its divisors is an integer number (89775).

22996840 is an apocalyptic number.

2996840 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 2996840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

2996840 is an abundant number, since it is smaller than the sum of its proper divisors (5621560).

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

2996840 is a wasteful number, since it uses less digits than its factorization.

2996840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2996840 is about 1731.1383538008. The cubic root of 2996840 is about 144.1743002555.

It can be divided in two parts, 29 and 96840, that added together give a palindrome (96869).

The spelling of 2996840 in words is "two million, nine hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 139 140 154 196 220 245 278 280 308 385 392 440 490 539 556 616 695 770 973 980 1078 1112 1390 1529 1540 1946 1960 2156 2695 2780 3058 3080 3892 4312 4865 5390 5560 6116 6811 7645 7784 9730 10703 10780 12232 13622 15290 19460 21406 21560 27244 30580 34055 38920 42812 53515 54488 61160 68110 74921 85624 107030 136220 149842 214060 272440 299684 374605 428120 599368 749210 1498420 2996840