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2796240 = 243561191
BaseRepresentation
bin1010101010101011010000
312021001201110
422222223100
51203434430
6135533320
732524206
oct12525320
95231643
102796240
11163a947
12b2a240
1376b9a5
1452b076
153a37b0
hex2aaad0

2796240 has 80 divisors (see below), whose sum is σ = 8856576. Its totient is φ = 729600.

The previous prime is 2796229. The next prime is 2796259. The reversal of 2796240 is 426972.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2796198 and 2796207.

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, 14545 + ... + 14735.

22796240 is an apocalyptic number.

2796240 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 2796240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428288).

2796240 is an abundant number, since it is smaller than the sum of its proper divisors (6060336).

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

2796240 is a wasteful number, since it uses less digits than its factorization.

2796240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2796240 is about 1672.1961607419. The cubic root of 2796240 is about 140.8828562769.

The spelling of 2796240 in words is "two million, seven hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 191 240 244 305 366 382 488 573 610 732 764 915 955 976 1146 1220 1464 1528 1830 1910 2292 2440 2865 2928 3056 3660 3820 4584 4880 5730 7320 7640 9168 11460 11651 14640 15280 22920 23302 34953 45840 46604 58255 69906 93208 116510 139812 174765 186416 233020 279624 349530 466040 559248 699060 932080 1398120 2796240