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1124310040 = 235719121023
BaseRepresentation
bin100001100000011…
…1001110000011000
32220100120212102121
41003000321300120
54300310410130
6303321511024
736601322560
oct10300716030
92810525377
101124310040
11527709857
12274642474
1314bc12b19
14a9469da0
1568a88d7a
hex43039c18

1124310040 has 64 divisors (see below), whose sum is σ = 2906357760. Its totient is φ = 383441280.

The previous prime is 1124310023. The next prime is 1124310059. The reversal of 1124310040 is 400134211.

It is a junction number, because it is equal to n+sod(n) for n = 1124309996 and 1124310023.

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 15 ways as a sum of consecutive naturals, for example, 42969 + ... + 63991.

It is an arithmetic number, because the mean of its divisors is an integer number (45411840).

Almost surely, 21124310040 is an apocalyptic number.

1124310040 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 1124310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453178880).

1124310040 is an abundant number, since it is smaller than the sum of its proper divisors (1782047720).

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

1124310040 is a wasteful number, since it uses less digits than its factorization.

1124310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21232 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1124310040 is about 33530.7327686109. The cubic root of 1124310040 is about 1039.8292495806.

Adding to 1124310040 its reverse (400134211), we get a palindrome (1524444251).

The spelling of 1124310040 in words is "one billion, one hundred twenty-four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 955 1337 1528 1910 2674 3820 5348 6685 7640 10696 13370 21023 26740 42046 53480 84092 105115 147161 168184 210230 294322 420460 588644 735805 840920 1177288 1471610 2943220 4015393 5886440 8030786 16061572 20076965 28107751 32123144 40153930 56215502 80307860 112431004 140538755 160615720 224862008 281077510 562155020 1124310040