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1110130440 = 233529714493
BaseRepresentation
bin100001000101011…
…0011111100001000
32212100220110200020
41002022303330020
54233143133230
6302053540440
736336644616
oct10212637410
92770813606
101110130440
1151a704481
1226b944720
13148cb9a23
14a76186b6
15676d7810
hex422b3f08

1110130440 has 128 divisors (see below), whose sum is σ = 3494534400. Its totient is φ = 281738240.

The previous prime is 1110130393. The next prime is 1110130471. The reversal of 1110130440 is 440310111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244834 + ... + 249326.

It is an arithmetic number, because the mean of its divisors is an integer number (27301050).

Almost surely, 21110130440 is an apocalyptic number.

1110130440 is a gapful number since it is divisible by the number (10) 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 1110130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747267200).

1110130440 is an abundant number, since it is smaller than the sum of its proper divisors (2384403960).

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

1110130440 is a wasteful number, since it uses less digits than its factorization.

1110130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1110130440 is about 33318.6200194426. The cubic root of 1110130440 is about 1035.4393616437.

Adding to 1110130440 its reverse (440310111), we get a palindrome (1550440551).

The spelling of 1110130440 in words is "one billion, one hundred ten million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 71 87 116 120 142 145 174 213 232 284 290 348 355 426 435 568 580 696 710 852 870 1065 1160 1420 1704 1740 2059 2130 2840 3480 4118 4260 4493 6177 8236 8520 8986 10295 12354 13479 16472 17972 20590 22465 24708 26958 30885 35944 41180 44930 49416 53916 61770 67395 82360 89860 107832 123540 130297 134790 179720 247080 260594 269580 319003 390891 521188 539160 638006 651485 781782 957009 1042376 1276012 1302970 1563564 1595015 1914018 1954455 2552024 2605940 3127128 3190030 3828036 3908910 4785045 5211880 6380060 7656072 7817820 9251087 9570090 12760120 15635640 18502174 19140180 27753261 37004348 38280360 46255435 55506522 74008696 92510870 111013044 138766305 185021740 222026088 277532610 370043480 555065220 1110130440