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1150331424 = 25311411632
BaseRepresentation
bin100010010010000…
…1010101000100000
32222011112220001120
41010210022220200
54323441101144
6310051332240
740335440634
oct10444125040
92864486046
101150331424
11540372030
122812b1080
13154423ba8
14acac0dc4
156aec8e19
hex4490aa20

1150331424 has 144 divisors (see below), whose sum is σ = 3395304864. Its totient is φ = 337996800.

The previous prime is 1150331419. The next prime is 1150331431. The reversal of 1150331424 is 4241330511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1150331394 and 1150331403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7057167 + ... + 7057329.

It is an arithmetic number, because the mean of its divisors is an integer number (23578506).

Almost surely, 21150331424 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 1150331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697652432).

1150331424 is an abundant number, since it is smaller than the sum of its proper divisors (2244973440).

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

1150331424 is a wasteful number, since it uses less digits than its factorization.

1150331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1150331424 is about 33916.5361438930. The cubic root of 1150331424 is about 1047.7901897256.

Adding to 1150331424 its reverse (4241330511), we get a palindrome (5391661935).

The spelling of 1150331424 in words is "one billion, one hundred fifty million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 163 164 176 246 264 326 328 352 451 489 492 528 652 656 902 978 984 1056 1304 1312 1353 1793 1804 1956 1968 2608 2706 3586 3608 3912 3936 5216 5379 5412 6683 7172 7216 7824 10758 10824 13366 14344 14432 15648 20049 21516 21648 26569 26732 28688 40098 43032 43296 53138 53464 57376 73513 79707 80196 86064 106276 106928 147026 159414 160392 172128 212552 213856 220539 292259 294052 318828 320784 425104 441078 584518 588104 637656 641568 850208 876777 882156 1089329 1169036 1176208 1275312 1753554 1764312 2178658 2338072 2352416 2550624 3267987 3507108 3528624 4357316 4676144 6535974 7014216 7057248 8714632 9352288 11982619 13071948 14028432 17429264 23965238 26143896 28056864 34858528 35947857 47930476 52287792 71895714 95860952 104575584 143791428 191721904 287582856 383443808 575165712 1150331424