[go: up one dir, main page]

Search a number
-
+
3142890 = 232547743
BaseRepresentation
bin1011111111010011101010
312220200020100
423333103222
51301033030
6151210230
735466642
oct13772352
95820210
103142890
111857333
121076976
138606ca
145bb522
15421360
hex2ff4ea

3142890 has 48 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 819168.

The previous prime is 3142879. The next prime is 3142901. The reversal of 3142890 is 982413.

It is an interprime number because it is at equal distance from previous prime (3142879) and next prime (3142901).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3859 + ... + 4601.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 23142890 is an apocalyptic number.

3142890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

3142890 is an abundant number, since it is smaller than the sum of its proper divisors (5213718).

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

3142890 is a wasteful number, since it uses less digits than its factorization.

3142890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3142890 is about 1772.8197877957. The cubic root of 3142890 is about 146.4793464887.

The spelling of 3142890 in words is "three million, one hundred forty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 743 846 1410 1486 2115 2229 3715 4230 4458 6687 7430 11145 13374 22290 33435 34921 66870 69842 104763 174605 209526 314289 349210 523815 628578 1047630 1571445 3142890