Search a number
-
+
41312320 = 265718443
BaseRepresentation
bin1001110110011…
…0000001000000
32212201212211221
42131212001000
541033443240
64033244424
71011102040
oct235460100
985655757
1041312320
1121357615
1211a03714
138735c7a
1456b5720
153960a4a
hex2766040

41312320 has 56 divisors (see below), whose sum is σ = 112434624. Its totient is φ = 14163456.

The previous prime is 41312263. The next prime is 41312351. The reversal of 41312320 is 2321314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41312294 and 41312303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6982 + ... + 11461.

Almost surely, 241312320 is an apocalyptic number.

41312320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41312320 is an abundant number, since it is smaller than the sum of its proper divisors (71122304).

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

41312320 is a wasteful number, since it uses less digits than its factorization.

41312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18467 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 41312320 is about 6427.4660636988. The cubic root of 41312320 is about 345.6950770077.

Adding to 41312320 its reverse (2321314), we get a palindrome (43633634).

The spelling of 41312320 in words is "forty-one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 18443 36886 73772 92215 129101 147544 184430 258202 295088 368860 516404 590176 645505 737720 1032808 1180352 1291010 1475440 2065616 2582020 2950880 4131232 5164040 5901760 8262464 10328080 20656160 41312320