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1130464242 = 233195320789
BaseRepresentation
bin100001101100001…
…1000001111110010
32220210011112102000
41003120120033302
54303344323432
6304101434430
740004534055
oct10330301762
92823145360
101130464242
11530132576
1227670ba16
1315028906b
14aa1cca9c
15693a257c
hex436183f2

1130464242 has 64 divisors (see below), whose sum is σ = 2694384000. Its totient is φ = 350236224.

The previous prime is 1130464241. The next prime is 1130464271. The reversal of 1130464242 is 2424640311.

It is a happy number.

1130464242 is a `hidden beast` number, since 1 + 13 + 0 + 4 + 642 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1130464241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43984 + ... + 64772.

It is an arithmetic number, because the mean of its divisors is an integer number (42099750).

Almost surely, 21130464242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130464242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347192000).

1130464242 is an abundant number, since it is smaller than the sum of its proper divisors (1563919758).

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

1130464242 is a wasteful number, since it uses less digits than its factorization.

1130464242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20872 (or 20866 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1130464242 is about 33622.3771021622. The cubic root of 1130464242 is about 1041.7230565342.

The spelling of 1130464242 in words is "one billion, one hundred thirty million, four hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 106 114 159 171 318 342 477 513 954 1007 1026 1431 2014 2862 3021 6042 9063 18126 20789 27189 41578 54378 62367 124734 187101 374202 394991 561303 789982 1101817 1122606 1184973 2203634 2369946 3305451 3554919 6610902 7109838 9916353 10664757 19832706 20934523 21329514 29749059 41869046 59498118 62803569 125607138 188410707 376821414 565232121 1130464242