[go: up one dir, main page]

Search a number
-
+
3141540 = 2232531563
BaseRepresentation
bin1011111110111110100100
312220121101100
423332332210
51301012130
6151200100
735463003
oct13767644
95817340
103141540
111856316
121076030
1385cbcc
145bac3a
15420c60
hex2fefa4

3141540 has 72 divisors (see below), whose sum is σ = 9854208. Its totient is φ = 809280.

The previous prime is 3141503. The next prime is 3141553. The reversal of 3141540 is 451413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5299 + ... + 5861.

It is an arithmetic number, because the mean of its divisors is an integer number (136864).

Almost surely, 23141540 is an apocalyptic number.

3141540 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 3141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927104).

3141540 is an abundant number, since it is smaller than the sum of its proper divisors (6712668).

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

3141540 is a wasteful number, since it uses less digits than its factorization.

3141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3141540 is about 1772.4389975398. The cubic root of 3141540 is about 146.4583705252.

Adding to 3141540 its reverse (451413), we get a palindrome (3592953).

The spelling of 3141540 in words is "three million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 563 620 930 1116 1126 1395 1689 1860 2252 2790 2815 3378 5067 5580 5630 6756 8445 10134 11260 16890 17453 20268 25335 33780 34906 50670 52359 69812 87265 101340 104718 157077 174530 209436 261795 314154 349060 523590 628308 785385 1047180 1570770 3141540