Search a number
-
+
575253140 = 2257211174373
BaseRepresentation
bin100010010010011…
…010101010010100
31111002102212221212
4202102122222110
52134231100030
6133025400552
720153366600
oct4222325224
91432385855
10575253140
11275796220
12140799158
1392242997
1456584500
1535780595
hex2249aa94

575253140 has 288 divisors, whose sum is σ = 1683690624. Its totient is φ = 162570240.

The previous prime is 575253131. The next prime is 575253169. The reversal of 575253140 is 41352575.

It is a junction number, because it is equal to n+sod(n) for n = 575253097 and 575253106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7880144 + ... + 7880216.

It is an arithmetic number, because the mean of its divisors is an integer number (5846148).

Almost surely, 2575253140 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 575253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841845312).

575253140 is an abundant number, since it is smaller than the sum of its proper divisors (1108437484).

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

575253140 is a wasteful number, since it uses less digits than its factorization.

575253140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 575253140 is about 23984.4353696309. The cubic root of 575253140 is about 831.6737599289.

The spelling of 575253140 in words is "five hundred seventy-five million, two hundred fifty-three thousand, one hundred forty".