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1123120040 = 23574399137
BaseRepresentation
bin100001011110001…
…0111001110101000
32220021100102001112
41002330113032220
54300004320130
6303240205452
736555235310
oct10274271650
92807312045
101123120040
11526a76789
12274169888
1314b8b7293
14a923a440
1568901495
hex42f173a8

1123120040 has 64 divisors (see below), whose sum is σ = 2894918400. Its totient is φ = 384150528.

The previous prime is 1123120027. The next prime is 1123120051. The reversal of 1123120040 is 400213211.

It is a super-2 number, since 2×11231200402 = 2522797248499203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1123119997 and 1123120024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118352 + ... + 127488.

It is an arithmetic number, because the mean of its divisors is an integer number (45233100).

Almost surely, 21123120040 is an apocalyptic number.

1123120040 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 1123120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447459200).

1123120040 is an abundant number, since it is smaller than the sum of its proper divisors (1771798360).

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

1123120040 is a wasteful number, since it uses less digits than its factorization.

1123120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1123120040 is about 33512.9831557861. The cubic root of 1123120040 is about 1039.4622589865.

Adding to 1123120040 its reverse (400213211), we get a palindrome (1523333251).

The spelling of 1123120040 in words is "one billion, one hundred twenty-three million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 439 878 1756 2195 3073 3512 4390 6146 8780 9137 12292 15365 17560 18274 24584 30730 36548 45685 61460 63959 73096 91370 122920 127918 182740 255836 319795 365480 511672 639590 1279180 2558360 4011143 8022286 16044572 20055715 28078001 32089144 40111430 56156002 80222860 112312004 140390005 160445720 224624008 280780010 561560020 1123120040