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2958020 = 2251331367
BaseRepresentation
bin1011010010001011000100
312120021122022
423102023010
51224124040
6143222312
734066652
oct13221304
95507568
102958020
11174044a
12ba7998
137c7510
1456ddd2
153d66b5
hex2d22c4

2958020 has 48 divisors (see below), whose sum is σ = 6924288. Its totient is φ = 1054080.

The previous prime is 2958019. The next prime is 2958023. The reversal of 2958020 is 208592.

2958020 = T145 + T146 + ... + T274.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (2958023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7877 + ... + 8243.

It is an arithmetic number, because the mean of its divisors is an integer number (144256).

22958020 is an apocalyptic number.

2958020 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 2958020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462144).

2958020 is an abundant number, since it is smaller than the sum of its proper divisors (3966268).

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

2958020 is a wasteful number, since it uses less digits than its factorization.

2958020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2958020 is about 1719.8895313362. The cubic root of 2958020 is about 143.5490651985.

The spelling of 2958020 in words is "two million, nine hundred fifty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 367 403 620 734 806 1468 1612 1835 2015 3670 4030 4771 7340 8060 9542 11377 19084 22754 23855 45508 47710 56885 95420 113770 147901 227540 295802 591604 739505 1479010 2958020