Search a number
-
+
41513120 = 25511103229
BaseRepresentation
bin1001111001011…
…1000010100000
32220010002021222
42132113002200
541111404440
64041434212
71012566335
oct236270240
986102258
1041513120
1121484470
1211a9b968
1387a649c
14572898c
1539a02b5
hex27970a0

41513120 has 96 divisors (see below), whose sum is σ = 108501120. Its totient is φ = 14883840.

The previous prime is 41513113. The next prime is 41513161. The reversal of 41513120 is 2131514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181166 + ... + 181394.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 241513120 is an apocalyptic number.

41513120 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 41513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250560).

41513120 is an abundant number, since it is smaller than the sum of its proper divisors (66988000).

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

41513120 is a wasteful number, since it uses less digits than its factorization.

41513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 41513120 is about 6443.0675923818. The cubic root of 41513120 is about 346.2542597451.

Adding to 41513120 its reverse (2131514), we get a palindrome (43644634).

The spelling of 41513120 in words is "forty-one million, five hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 103 110 160 176 206 220 229 352 412 440 458 515 824 880 916 1030 1133 1145 1648 1760 1832 2060 2266 2290 2519 3296 3664 4120 4532 4580 5038 5665 7328 8240 9064 9160 10076 11330 12595 16480 18128 18320 20152 22660 23587 25190 36256 36640 40304 45320 47174 50380 80608 90640 94348 100760 117935 181280 188696 201520 235870 259457 377392 403040 471740 518914 754784 943480 1037828 1297285 1886960 2075656 2594570 3773920 4151312 5189140 8302624 10378280 20756560 41513120