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2936420 = 225413581
BaseRepresentation
bin1011001100111001100100
312112012000022
423030321210
51222431140
6142534312
733646664
oct13147144
95465008
102936420
1117261a3
12b97398
137ba736
145661a4
153d00b5
hex2cce64

2936420 has 24 divisors (see below), whose sum is σ = 6318648. Its totient is φ = 1145600.

The previous prime is 2936411. The next prime is 2936429. The reversal of 2936420 is 246392.

2936420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2936411) and next prime (2936429).

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 2735716 = 448^2 + 1654^2 .

It is a d-powerful number, because it can be written as 213 + 96 + 39 + 67 + 42 + 221 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2936420.

It is not an unprimeable number, because it can be changed into a prime (2936429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971 + ... + 2610.

It is an arithmetic number, because the mean of its divisors is an integer number (263277).

22936420 is an apocalyptic number.

2936420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2936420 is an abundant number, since it is smaller than the sum of its proper divisors (3382228).

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

2936420 is a wasteful number, since it uses less digits than its factorization.

2936420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2936420 is about 1713.5985527538. The cubic root of 2936420 is about 143.1988041264.

The spelling of 2936420 in words is "two million, nine hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 3581 7162 14324 17905 35810 71620 146821 293642 587284 734105 1468210 2936420