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3138540 = 2235172181
BaseRepresentation
bin1011111110001111101100
312220110021020
423332033230
51300413130
6151134140
735451156
oct13761754
95813236
103138540
111854039
121074350
1385b732
145b9ad6
1541ee10
hex2fe3ec

3138540 has 72 divisors (see below), whose sum is σ = 9386832. Its totient is φ = 783360.

The previous prime is 3138539. The next prime is 3138547. The reversal of 3138540 is 458313.

It is a self number, because there is not a number n which added to its sum of digits gives 3138540.

It is not an unprimeable number, because it can be changed into a prime (3138547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17250 + ... + 17430.

Almost surely, 23138540 is an apocalyptic number.

3138540 is a gapful number since it is divisible by the number (30) 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 3138540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693416).

3138540 is an abundant number, since it is smaller than the sum of its proper divisors (6248292).

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

3138540 is a wasteful number, since it uses less digits than its factorization.

3138540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3138540 is about 1771.5925039354. The cubic root of 3138540 is about 146.4117357489.

The spelling of 3138540 in words is "three million, one hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 181 204 255 289 340 362 510 543 578 724 867 905 1020 1086 1156 1445 1734 1810 2172 2715 2890 3077 3468 3620 4335 5430 5780 6154 8670 9231 10860 12308 15385 17340 18462 30770 36924 46155 52309 61540 92310 104618 156927 184620 209236 261545 313854 523090 627708 784635 1046180 1569270 3138540