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2958240 = 25356163
BaseRepresentation
bin1011010010001110100000
312120021221110
423102032200
51224130430
6143223320
734100415
oct13221640
95507843
102958240
11174062a
12ba7b40
137c764c
1457010c
153d67b0
hex2d23a0

2958240 has 48 divisors (see below), whose sum is σ = 9319968. Its totient is φ = 788736.

The previous prime is 2958239. The next prime is 2958247. The reversal of 2958240 is 428592.

2958240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2958198 and 2958207.

It is not an unprimeable number, because it can be changed into a prime (2958247) 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, 2602 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (194166).

22958240 is an apocalyptic number.

2958240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2958240 is an abundant number, since it is smaller than the sum of its proper divisors (6361728).

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

2958240 is a wasteful number, since it uses less digits than its factorization.

2958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2958240 is about 1719.9534877432. The cubic root of 2958240 is about 143.5526238865.

The spelling of 2958240 in words is "two million, nine hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 6163 12326 18489 24652 30815 36978 49304 61630 73956 92445 98608 123260 147912 184890 197216 246520 295824 369780 493040 591648 739560 986080 1479120 2958240