Search a number
-
+
1124771140 = 225313749031
BaseRepresentation
bin100001100001010…
…1010010101000100
32220101110021221101
41003002222111010
54300420134030
6303335425444
736605253103
oct10302522504
92811407841
101124771140
115279a4229
12274825284
1314c04496c
14a954a03a
1568b2a7ca
hex430aa544

1124771140 has 48 divisors (see below), whose sum is σ = 2504162304. Its totient is φ = 423619200.

The previous prime is 1124771129. The next prime is 1124771173. The reversal of 1124771140 is 411774211.

It is a super-2 number, since 2×11247711402 = 2530220234753799200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1124771099 and 1124771108.

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 15 ways as a sum of consecutive naturals, for example, 1576 + ... + 47455.

It is an arithmetic number, because the mean of its divisors is an integer number (52170048).

Almost surely, 21124771140 is an apocalyptic number.

1124771140 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 1124771140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252081152).

1124771140 is an abundant number, since it is smaller than the sum of its proper divisors (1379391164).

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

1124771140 is a wasteful number, since it uses less digits than its factorization.

1124771140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49108 (or 49106 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 1124771140 is about 33537.6078455217. The cubic root of 1124771140 is about 1039.9713811158.

The spelling of 1124771140 in words is "one billion, one hundred twenty-four million, seven hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 2294 4588 5735 11470 22940 49031 98062 196124 245155 490310 980620 1519961 1814147 3039922 3628294 6079844 7256588 7599805 9070735 15199610 18141470 30399220 36282940 56238557 112477114 224954228 281192785 562385570 1124771140