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1130041368 = 23351095333
BaseRepresentation
bin100001101011011…
…0001000000011000
32220202101001100000
41003112301000120
54303242310433
6304044413000
740001123151
oct10326610030
92822331300
101130041368
1152a973895
12276547160
1315016b741
14aa11c928
156931c113
hex435b1018

1130041368 has 96 divisors (see below), whose sum is σ = 3203600400. Its totient is φ = 373154688.

The previous prime is 1130041271. The next prime is 1130041369. The reversal of 1130041368 is 8631400311.

It is a super-2 number, since 2×11300413682 = 2553986986782622848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130041369) by changing a digit.

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, 209230 + ... + 214562.

Almost surely, 21130041368 is an apocalyptic number.

1130041368 is a gapful number since it is divisible by the number (18) 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 1130041368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601800200).

1130041368 is an abundant number, since it is smaller than the sum of its proper divisors (2073559032).

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

1130041368 is a wasteful number, since it uses less digits than its factorization.

1130041368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1130041368 is about 33616.0879342020. The cubic root of 1130041368 is about 1041.5931475053.

Adding to 1130041368 its reverse (8631400311), we get a palindrome (9761441679).

The spelling of 1130041368 in words is "one billion, one hundred thirty million, forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 109 162 216 218 243 324 327 436 486 648 654 872 972 981 1308 1944 1962 2616 2943 3924 5333 5886 7848 8829 10666 11772 15999 17658 21332 23544 26487 31998 35316 42664 47997 52974 63996 70632 95994 105948 127992 143991 191988 211896 287982 383976 431973 575964 581297 863946 1151928 1162594 1295919 1727892 1743891 2325188 2591838 3455784 3487782 4650376 5183676 5231673 6975564 10367352 10463346 13951128 15695019 20926692 31390038 41853384 47085057 62780076 94170114 125560152 141255171 188340228 282510342 376680456 565020684 1130041368