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2956840 = 235292549
BaseRepresentation
bin1011010001111000101000
312120020000121
423101320220
51224104330
6143213024
734063345
oct13217050
95506017
102956840
11173a577
12ba7174
137c6b13
1456d7cc
153d617a
hex2d1e28

2956840 has 32 divisors (see below), whose sum is σ = 6885000. Its totient is φ = 1141504.

The previous prime is 2956831. The next prime is 2956841. The reversal of 2956840 is 486592.

It is a happy number.

2956840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2842596 + 114244 = 1686^2 + 338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2956796 and 2956805.

It is not an unprimeable number, because it can be changed into a prime (2956841) 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, 115 + ... + 2434.

22956840 is an apocalyptic number.

2956840 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 2956840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442500).

2956840 is an abundant number, since it is smaller than the sum of its proper divisors (3928160).

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

2956840 is a wasteful number, since it uses less digits than its factorization.

2956840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2956840 is about 1719.5464518297. The cubic root of 2956840 is about 143.5299746778.

The spelling of 2956840 in words is "two million, nine hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2549 5098 10196 12745 20392 25490 50980 73921 101960 147842 295684 369605 591368 739210 1478420 2956840