Search a number
-
+
4149090 = 2335112127
BaseRepresentation
bin1111110100111101100010
321210210111000
433310331202
52030232330
6224532430
750160321
oct17647542
97723430
104149090
112384300
121481116
13b236aa
147a00b8
1556e560
hex3f4f62

4149090 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 997920.

The previous prime is 4149053. The next prime is 4149107. The reversal of 4149090 is 909414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32607 + ... + 32733.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 24149090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

4149090 is an abundant number, since it is smaller than the sum of its proper divisors (8108190).

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

4149090 is a wasteful number, since it uses less digits than its factorization.

4149090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4149090 is about 2036.9315157854. The cubic root of 4149090 is about 160.6883107227.

The spelling of 4149090 in words is "four million, one hundred forty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 127 135 165 198 242 254 270 297 330 363 381 495 594 605 635 726 762 990 1089 1143 1210 1270 1397 1485 1815 1905 2178 2286 2794 2970 3267 3429 3630 3810 4191 5445 5715 6534 6858 6985 8382 10890 11430 12573 13970 15367 16335 17145 20955 25146 30734 32670 34290 37719 41910 46101 62865 75438 76835 92202 125730 138303 153670 188595 230505 276606 377190 414909 461010 691515 829818 1383030 2074545 4149090