Search a number
-
+
1145612160 = 27345721141
BaseRepresentation
bin100010001001000…
…1010011110000000
32221211200010110000
41010102022132000
54321234042120
6305402240000
740250354100
oct10422123600
92854603400
101145612160
11538739410
1227b7b6000
13153460b24
14ac213200
156a895990
hex4448a780

1145612160 has 960 divisors, whose sum is σ = 5318414640. Its totient is φ = 232243200.

The previous prime is 1145612159. The next prime is 1145612173. The reversal of 1145612160 is 612165411.

1145612160 is a `hidden beast` number, since 1 + 1 + 45 + 612 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11456121602 = 2624854442279731200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27941740 + ... + 27941780.

Almost surely, 21145612160 is an apocalyptic number.

1145612160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659207320).

1145612160 is an abundant number, since it is smaller than the sum of its proper divisors (4172802480).

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

1145612160 is a wasteful number, since it uses less digits than its factorization.

1145612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1145612160 is about 33846.8929150077. The cubic root of 1145612160 is about 1046.3553638059.

Adding to 1145612160 its reverse (612165411), we get a palindrome (1757777571).

The spelling of 1145612160 in words is "one billion, one hundred forty-five million, six hundred twelve thousand, one hundred sixty".