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1130465556 = 2232113538087
BaseRepresentation
bin100001101100001…
…1000100100010100
32220210011121012200
41003120120210110
54303344344211
6304101444500
740004540643
oct10330304424
92823147180
101130465556
11530133560
12276710730
1315028983c
14aa1cd35a
15693a2b56
hex43618914

1130465556 has 72 divisors (see below), whose sum is σ = 3126561984. Its totient is φ = 341552640.

The previous prime is 1130465521. The next prime is 1130465569. The reversal of 1130465556 is 6555640311.

1130465556 is a `hidden beast` number, since 11 + 30 + 4 + 65 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1130465556.

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 23 ways as a sum of consecutive naturals, for example, 135745 + ... + 143831.

It is an arithmetic number, because the mean of its divisors is an integer number (43424472).

Almost surely, 21130465556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130465556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563280992).

1130465556 is an abundant number, since it is smaller than the sum of its proper divisors (1996096428).

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

1130465556 is a wasteful number, since it uses less digits than its factorization.

1130465556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1130465556 is about 33622.3966427142. The cubic root of 1130465556 is about 1041.7234601511.

The spelling of 1130465556 in words is "one billion, one hundred thirty million, four hundred sixty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 353 396 706 1059 1412 2118 3177 3883 4236 6354 7766 8087 11649 12708 15532 16174 23298 24261 32348 34947 46596 48522 69894 72783 88957 97044 139788 145566 177914 266871 291132 355828 533742 800613 1067484 1601226 2854711 3202452 5709422 8564133 11418844 17128266 25692399 31401821 34256532 51384798 62803642 94205463 102769596 125607284 188410926 282616389 376821852 565232778 1130465556