Search a number
-
+
3956180 = 2251929359
BaseRepresentation
bin1111000101110111010100
321102222212012
433011313110
52003044210
6220443352
745425024
oct17056724
97388765
103956180
112262378
1213a9558
13a86947
1474da84
15532305
hex3c5dd4

3956180 has 48 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1443456.

The previous prime is 3956179. The next prime is 3956203. The reversal of 3956180 is 816593.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10841 + ... + 11199.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 23956180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3956180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

3956180 is an abundant number, since it is smaller than the sum of its proper divisors (5115820).

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

3956180 is a wasteful number, since it uses less digits than its factorization.

3956180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 3956180 is about 1989.0148315184. The cubic root of 3956180 is about 158.1583095216.

The spelling of 3956180 in words is "three million, nine hundred fifty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 359 380 551 580 718 1102 1436 1795 2204 2755 3590 5510 6821 7180 10411 11020 13642 20822 27284 34105 41644 52055 68210 104110 136420 197809 208220 395618 791236 989045 1978090 3956180