Search a number
-
+
4137980 = 2257112687
BaseRepresentation
bin1111110010001111111100
321210020020112
433302033330
52024403410
6224405152
750113040
oct17621774
97706215
104137980
112376a20
1214767b8
13b1b612
1479a020
1556b105
hex3f23fc

4137980 has 48 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 1289280.

The previous prime is 4137979. The next prime is 4137997. The reversal of 4137980 is 897314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197 + ... + 2883.

It is an arithmetic number, because the mean of its divisors is an integer number (225792).

Almost surely, 24137980 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 4137980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

4137980 is an abundant number, since it is smaller than the sum of its proper divisors (6700036).

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

4137980 is a wasteful number, since it uses less digits than its factorization.

4137980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 4137980 is about 2034.2025464540. The cubic root of 4137980 is about 160.5447577222.

The spelling of 4137980 in words is "four million, one hundred thirty-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2687 5374 10748 13435 18809 26870 29557 37618 53740 59114 75236 94045 118228 147785 188090 206899 295570 376180 413798 591140 827596 1034495 2068990 4137980