Search a number
-
+
1152025440 = 25352400053
BaseRepresentation
bin100010010101010…
…1000001101100000
32222021201221210220
41010222220031200
54324404303230
6310151523040
740356024516
oct10452501540
92867657726
101152025440
11541319845
12281989480
13154897c77
14ad0024b6
156b210d10
hex44aa8360

1152025440 has 48 divisors (see below), whose sum is σ = 3628881648. Its totient is φ = 307206656.

The previous prime is 1152025411. The next prime is 1152025463. The reversal of 1152025440 is 445202511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11520254402 = 2654325228814387200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1152025440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199547 + ... + 1200506.

It is an arithmetic number, because the mean of its divisors is an integer number (75601701).

Almost surely, 21152025440 is an apocalyptic number.

1152025440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1152025440 is an abundant number, since it is smaller than the sum of its proper divisors (2476856208).

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

1152025440 is a wasteful number, since it uses less digits than its factorization.

1152025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400071 (or 2400063 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1152025440 is about 33941.5002614793. The cubic root of 1152025440 is about 1048.3042742542.

Adding to 1152025440 its reverse (445202511), we get a palindrome (1597227951).

The spelling of 1152025440 in words is "one billion, one hundred fifty-two million, twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2400053 4800106 7200159 9600212 12000265 14400318 19200424 24000530 28800636 36000795 38400848 48001060 57601272 72001590 76801696 96002120 115202544 144003180 192004240 230405088 288006360 384008480 576012720 1152025440