Search a number
-
+
75316640 = 255767247
BaseRepresentation
bin1000111110100…
…11110110100000
312020201111000012
410133103312200
5123240113030
611250144052
71603116020
oct437236640
9166644005
1075316640
1139572563
1221282028
13127b0779
14a007a80
15692b095
hex47d3da0

75316640 has 48 divisors (see below), whose sum is σ = 203357952. Its totient is φ = 25822464.

The previous prime is 75316621. The next prime is 75316667. The reversal of 75316640 is 4661357.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 75316597 and 75316606.

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, 32504 + ... + 34743.

It is an arithmetic number, because the mean of its divisors is an integer number (4236624).

Almost surely, 275316640 is an apocalyptic number.

75316640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75316640 is an abundant number, since it is smaller than the sum of its proper divisors (128041312).

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

75316640 is a wasteful number, since it uses less digits than its factorization.

75316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67269 (or 67261 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 75316640 is about 8678.5160021746. The cubic root of 75316640 is about 422.3089761203.

Adding to 75316640 its reverse (4661357), we get a palindrome (79977997).

The spelling of 75316640 in words is "seventy-five million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 67247 134494 268988 336235 470729 537976 672470 941458 1075952 1344940 1882916 2151904 2353645 2689880 3765832 4707290 5379760 7531664 9414580 10759520 15063328 18829160 37658320 75316640