Search a number
-
+
4061120 = 2657337
BaseRepresentation
bin1111011111011111000000
321122022210212
433133133000
52014423440
6223013252
746343000
oct17373700
97568725
104061120
1123241a8
12143a228
13ac263b
1477a000
15553465
hex3df7c0

4061120 has 112 divisors (see below), whose sum is σ = 11582400. Its totient is φ = 1354752.

The previous prime is 4061081. The next prime is 4061137. The reversal of 4061120 is 211604.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4061095 and 4061104.

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, 109742 + ... + 109778.

Almost surely, 24061120 is an apocalyptic number.

4061120 is a gapful number since it is divisible by the number (40) 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 4061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791200).

4061120 is an abundant number, since it is smaller than the sum of its proper divisors (7521280).

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

4061120 is an equidigital number, since it uses as much as digits as its factorization.

4061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4061120 is about 2015.2220721300. Note that the first 3 decimals coincide. The cubic root of 4061120 is about 159.5445380285.

Adding to 4061120 its reverse (211604), we get a palindrome (4272724).

The spelling of 4061120 in words is "four million, sixty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 49 56 64 70 74 80 98 112 140 148 160 185 196 224 245 259 280 296 320 343 370 392 448 490 518 560 592 686 740 784 980 1036 1120 1184 1295 1372 1480 1568 1715 1813 1960 2072 2240 2368 2590 2744 2960 3136 3430 3626 3920 4144 5180 5488 5920 6860 7252 7840 8288 9065 10360 10976 11840 12691 13720 14504 15680 16576 18130 20720 21952 25382 27440 29008 36260 41440 50764 54880 58016 63455 72520 82880 101528 109760 116032 126910 145040 203056 253820 290080 406112 507640 580160 812224 1015280 2030560 4061120