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1130878040 = 235732411607
BaseRepresentation
bin100001101100111…
…1101010001011000
32220210221120000212
41003121331101120
54304001044130
6304114350252
740011206345
oct10331752130
92823846025
101130878040
11530395456
1227688b388
131503a2506
14aa2997cc
1569434e95
hex4367d458

1130878040 has 64 divisors (see below), whose sum is σ = 2591645760. Its totient is φ = 444026880.

The previous prime is 1130878019. The next prime is 1130878051. The reversal of 1130878040 is 408780311.

1130878040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1130877988 and 1130878006.

It is a congruent number.

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, 702917 + ... + 704523.

It is an arithmetic number, because the mean of its divisors is an integer number (40494465).

Almost surely, 21130878040 is an apocalyptic number.

1130878040 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 1130878040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295822880).

1130878040 is an abundant number, since it is smaller than the sum of its proper divisors (1460767720).

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

1130878040 is a wasteful number, since it uses less digits than its factorization.

1130878040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1130878040 is about 33628.5301492646. The cubic root of 1130878040 is about 1041.8501460125.

The spelling of 1130878040 in words is "one billion, one hundred thirty million, eight hundred seventy-eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 241 292 365 482 584 730 964 1205 1460 1607 1928 2410 2920 3214 4820 6428 8035 9640 12856 16070 17593 32140 35186 64280 70372 87965 117311 140744 175930 234622 351860 387287 469244 586555 703720 774574 938488 1173110 1549148 1936435 2346220 3098296 3872870 4692440 7745740 15491480 28271951 56543902 113087804 141359755 226175608 282719510 565439020 1130878040