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1131499368 = 23353715731
BaseRepresentation
bin100001101110001…
…0100111101101000
32220212010010100000
41003130110331220
54304130434433
6304135543000
740016404656
oct10334247550
92825103300
101131499368
1153077a24a
12276b2aa60
1315055c26c
14aa3bbdd6
1569509113
hex43714f68

1131499368 has 96 divisors (see below), whose sum is σ = 3264075360. Its totient is φ = 366949440.

The previous prime is 1131499367. The next prime is 1131499403. The reversal of 1131499368 is 8639941311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1131499367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64063 + ... + 79793.

It is an arithmetic number, because the mean of its divisors is an integer number (34000785).

Almost surely, 21131499368 is an apocalyptic number.

1131499368 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 1131499368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632037680).

1131499368 is an abundant number, since it is smaller than the sum of its proper divisors (2132575992).

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

1131499368 is a wasteful number, since it uses less digits than its factorization.

1131499368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15789 (or 15773 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1131499368 is about 33637.7669889070. The cubic root of 1131499368 is about 1042.0409158180.

The spelling of 1131499368 in words is "one billion, one hundred thirty-one million, four hundred ninety-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1332 1944 1998 2664 2997 3996 5994 7992 8991 11988 15731 17982 23976 31462 35964 47193 62924 71928 94386 125848 141579 188772 283158 377544 424737 566316 582047 849474 1132632 1164094 1274211 1698948 1746141 2328188 2548422 3397896 3492282 3822633 4656376 5096844 5238423 6984564 7645266 10193688 10476846 13969128 15290532 15715269 20953692 30581064 31430538 41907384 47145807 62861076 94291614 125722152 141437421 188583228 282874842 377166456 565749684 1131499368