Search a number
-
+
1149008140 = 225728332897
BaseRepresentation
bin100010001111100…
…0111100100001100
32222002001122212001
41010133013210030
54323121230030
6310003122044
740321256650
oct10437074414
92862048761
101149008140
1153a648905
12280973324
1315407c797
14ac858a60
156ad16cca
hex447c790c

1149008140 has 48 divisors (see below), whose sum is σ = 2759545152. Its totient is φ = 393670656.

The previous prime is 1149008099. The next prime is 1149008143. The reversal of 1149008140 is 418009411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1149008099 and 1149008108.

It is not an unprimeable number, because it can be changed into a prime (1149008143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395172 + ... + 398068.

It is an arithmetic number, because the mean of its divisors is an integer number (57490524).

Almost surely, 21149008140 is an apocalyptic number.

1149008140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1149008140 is an abundant number, since it is smaller than the sum of its proper divisors (1610537012).

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

1149008140 is a wasteful number, since it uses less digits than its factorization.

1149008140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1149008140 is about 33897.0225831119. The cubic root of 1149008140 is about 1047.3882603433.

The spelling of 1149008140 in words is "one billion, one hundred forty-nine million, eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 2833 2897 5666 5794 11332 11588 14165 14485 19831 20279 28330 28970 39662 40558 56660 57940 79324 81116 99155 101395 198310 202790 396620 405580 8207201 16414402 32828804 41036005 57450407 82072010 114900814 164144020 229801628 287252035 574504070 1149008140