Search a number
-
+
1152640125 = 3653713139
BaseRepresentation
bin100010010110011…
…1110010001111101
32222022220012000000
41010230332101331
54330033441000
6310213024513
740364164560
oct10454762175
92868805000
101152640125
115416a964a
12282025139
13154a519a0
14ad1224d7
156b2d3000
hex44b3e47d

1152640125 has 224 divisors, whose sum is σ = 2673565440. Its totient is φ = 482889600.

The previous prime is 1152640123. The next prime is 1152640133. The reversal of 1152640125 is 5210462511.

1152640125 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 640 + 12 + 5 = 666.

It is not a de Polignac number, because 1152640125 - 21 = 1152640123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152640123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8292306 + ... + 8292444.

It is an arithmetic number, because the mean of its divisors is an integer number (11935560).

Almost surely, 21152640125 is an apocalyptic number.

1152640125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1152640125 is an abundant number, since it is smaller than the sum of its proper divisors (1520925315).

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

1152640125 is an equidigital number, since it uses as much as digits as its factorization.

1152640125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1152640125 is about 33950.5541191893. The cubic root of 1152640125 is about 1048.4906886388.

The spelling of 1152640125 in words is "one billion, one hundred fifty-two million, six hundred forty thousand, one hundred twenty-five".