Search a number
-
+
75006260 = 2257276537
BaseRepresentation
bin1000111100010…
…00000100110100
312020010201020122
410132020010310
5123200200020
611235351112
71600354100
oct436100464
9166121218
1075006260
113938034a
1221152498
1312702404
149d66900
1568b9125
hex4788134

75006260 has 36 divisors (see below), whose sum is σ = 183231972. Its totient is φ = 25716096.

The previous prime is 75006257. The next prime is 75006331. The reversal of 75006260 is 6260057.

It can be written as a sum of positive squares in 2 ways, for example, as 55681444 + 19324816 = 7462^2 + 4396^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37289 + ... + 39248.

It is an arithmetic number, because the mean of its divisors is an integer number (5089777).

Almost surely, 275006260 is an apocalyptic number.

75006260 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75006260 is an abundant number, since it is smaller than the sum of its proper divisors (108225712).

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

75006260 is a wasteful number, since it uses less digits than its factorization.

75006260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76560 (or 76551 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 75006260 is about 8660.6154515716. The cubic root of 75006260 is about 421.7280654100.

The spelling of 75006260 in words is "seventy-five million, six thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 76537 153074 306148 382685 535759 765370 1071518 1530740 2143036 2678795 3750313 5357590 7500626 10715180 15001252 18751565 37503130 75006260