Search a number
-
+
75231460 = 22517409541
BaseRepresentation
bin1000111101111…
…11000011100100
312020120011011101
410132333003210
5123224401320
611244245444
71602312463
oct436770344
9166504141
1075231460
1139514567
1221240884
1312780a75
149dc49da
156910c0a
hex47bf0e4

75231460 has 48 divisors (see below), whose sum is σ = 167998320. Its totient is φ = 28200960.

The previous prime is 75231439. The next prime is 75231461. The reversal of 75231460 is 6413257.

It can be written as a sum of positive squares in 8 ways, for example, as 5308416 + 69923044 = 2304^2 + 8362^2 .

It is not an unprimeable number, because it can be changed into a prime (75231461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138790 + ... + 139330.

It is an arithmetic number, because the mean of its divisors is an integer number (3499965).

Almost surely, 275231460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75231460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83999160).

75231460 is an abundant number, since it is smaller than the sum of its proper divisors (92766860).

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

75231460 is a wasteful number, since it uses less digits than its factorization.

75231460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 75231460 is about 8673.6070927844. The cubic root of 75231460 is about 422.1497114117.

The spelling of 75231460 in words is "seventy-five million, two hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 409 541 818 1082 1636 2045 2164 2705 4090 5410 6953 8180 9197 10820 13906 18394 27812 34765 36788 45985 69530 91970 139060 183940 221269 442538 885076 1106345 2212690 3761573 4425380 7523146 15046292 18807865 37615730 75231460