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1121580468 = 223271736011
BaseRepresentation
bin100001011011001…
…1111010110110100
32220011110012011100
41002312133112310
54244111033333
6303143210100
736536163621
oct10266372664
92804405140
101121580468
11526115008
12273746930
1314b4985a8
14a8d59348
15686ea213
hex42d9f5b4

1121580468 has 72 divisors (see below), whose sum is σ = 2914906176. Its totient is φ = 363484800.

The previous prime is 1121580463. The next prime is 1121580511. The reversal of 1121580468 is 8640851211.

1121580468 is a `hidden beast` number, since 1 + 12 + 1 + 580 + 4 + 68 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121580463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183583 + ... + 189593.

It is an arithmetic number, because the mean of its divisors is an integer number (40484808).

Almost surely, 21121580468 is an apocalyptic number.

1121580468 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 1121580468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457453088).

1121580468 is an abundant number, since it is smaller than the sum of its proper divisors (1793325708).

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

1121580468 is a wasteful number, since it uses less digits than its factorization.

1121580468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1121580468 is about 33490.0054941769. The cubic root of 1121580468 is about 1038.9870771325.

The spelling of 1121580468 in words is "one billion, one hundred twenty-one million, five hundred eighty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 73 142 146 213 219 284 292 426 438 639 657 852 876 1278 1314 2556 2628 5183 6011 10366 12022 15549 18033 20732 24044 31098 36066 46647 54099 62196 72132 93294 108198 186588 216396 426781 438803 853562 877606 1280343 1316409 1707124 1755212 2560686 2632818 3841029 3949227 5121372 5265636 7682058 7898454 15364116 15796908 31155013 62310026 93465039 124620052 186930078 280395117 373860156 560790234 1121580468