Search a number
-
+
41130360 = 23325432657
BaseRepresentation
bin1001110011100…
…1100101111000
32212101122020200
42130321211320
541012132420
64025322200
71006413405
oct234714570
985348220
1041130360
1121242937
1211936360
1386a11bb
1456692ac
153926b90
hex2739978

41130360 has 96 divisors (see below), whose sum is σ = 136833840. Its totient is φ = 10708992.

The previous prime is 41130359. The next prime is 41130367. The reversal of 41130360 is 6303114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14152 + ... + 16808.

Almost surely, 241130360 is an apocalyptic number.

41130360 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 41130360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68416920).

41130360 is an abundant number, since it is smaller than the sum of its proper divisors (95703480).

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

41130360 is a wasteful number, since it uses less digits than its factorization.

41130360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 41130360 is about 6413.2955646844. The cubic root of 41130360 is about 345.1867923571.

Adding to 41130360 its reverse (6303114), we get a palindrome (47433474).

The spelling of 41130360 in words is "forty-one million, one hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 2657 3096 3870 5160 5314 7740 7971 10628 13285 15480 15942 21256 23913 26570 31884 39855 47826 53140 63768 79710 95652 106280 114251 119565 159420 191304 228502 239130 318840 342753 457004 478260 571255 685506 914008 956520 1028259 1142510 1371012 1713765 2056518 2285020 2742024 3427530 4113036 4570040 5141295 6855060 8226072 10282590 13710120 20565180 41130360