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10874020 = 2254189149
BaseRepresentation
bin101001011110…
…110010100100
3202110110100111
4221132302210
510240432040
61025022404
7161266453
oct51366244
922413314
1010874020
1161578a3
123784a04
132339641
141630b9a
15e4bdea
hexa5eca4

10874020 has 48 divisors (see below), whose sum is σ = 23814000. Its totient is φ = 4167680.

The previous prime is 10873903. The next prime is 10874021. The reversal of 10874020 is 2047801.

10874020 is digitally balanced in base 2, 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 8 ways, for example, as 4910656 + 5963364 = 2216^2 + 2442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10873982 and 10874000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10874021) 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, 72906 + ... + 73054.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 210874020 is an apocalyptic number.

10874020 is a gapful number since it is divisible by the number (10) 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 10874020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907000).

10874020 is an abundant number, since it is smaller than the sum of its proper divisors (12939980).

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

10874020 is a wasteful number, since it uses less digits than its factorization.

10874020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10874020 is about 3297.5778990041. The cubic root of 10874020 is about 221.5457258247.

The spelling of 10874020 in words is "ten million, eight hundred seventy-four thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 89 149 164 178 205 298 356 410 445 596 745 820 890 1490 1780 2980 3649 6109 7298 12218 13261 14596 18245 24436 26522 30545 36490 53044 61090 66305 72980 122180 132610 265220 543701 1087402 2174804 2718505 5437010 10874020