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2840096 = 25731409
BaseRepresentation
bin1010110101011000100000
312100021212202
422311120200
51211340341
6140512332
733066110
oct12653040
95307782
102840096
11166a896
12b4b6a8
1378593c
1453d040
153b179b
hex2b5620

2840096 has 48 divisors (see below), whose sum is σ = 6612480. Its totient is φ = 1175040.

The previous prime is 2840093. The next prime is 2840113. The reversal of 2840096 is 6900482.

It is a super-2 number, since 2×28400962 = 16132290578432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2840093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6740 + ... + 7148.

It is an arithmetic number, because the mean of its divisors is an integer number (137760).

22840096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240).

2840096 is an abundant number, since it is smaller than the sum of its proper divisors (3772384).

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

2840096 is a wasteful number, since it uses less digits than its factorization.

2840096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2840096 is about 1685.2584371544. The cubic root of 2840096 is about 141.6155706541.

The spelling of 2840096 in words is "two million, eight hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 409 434 496 818 868 992 1636 1736 2863 3272 3472 5726 6544 6944 11452 12679 13088 22904 25358 45808 50716 88753 91616 101432 177506 202864 355012 405728 710024 1420048 2840096