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1112784480 = 2535528621
BaseRepresentation
bin100001001010011…
…1011111001100000
32212112220022100000
41002110323321200
54234333100410
6302230500000
736401340423
oct10224737140
92775808300
101112784480
115211574a5
12270804600
13149708a72
14a7b099ba
1567a5ddc0
hex4253be60

1112784480 has 144 divisors (see below), whose sum is σ = 3938158224. Its totient is φ = 296732160.

The previous prime is 1112784461. The next prime is 1112784493. The reversal of 1112784480 is 844872111.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 24570 + ... + 53190.

It is an arithmetic number, because the mean of its divisors is an integer number (27348321).

Almost surely, 21112784480 is an apocalyptic number.

1112784480 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 1112784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969079112).

1112784480 is an abundant number, since it is smaller than the sum of its proper divisors (2825373744).

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

1112784480 is an equidigital number, since it uses as much as digits as its factorization.

1112784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28651 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1112784480 is about 33358.4244232248. The cubic root of 1112784480 is about 1036.2638624673.

The spelling of 1112784480 in words is "one billion, one hundred twelve million, seven hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 28621 38880 57242 85863 114484 143105 171726 228968 257589 286210 343452 429315 457936 515178 572420 686904 772767 858630 915872 1030356 1144840 1287945 1373808 1545534 1717260 2060712 2289680 2318301 2575890 2747616 3091068 3434520 3863835 4121424 4579360 4636602 5151780 6182136 6869040 6954903 7727670 8242848 9273204 10303560 11591505 12364272 13738080 13909806 15455340 18546408 20607120 23183010 24728544 27819612 30910680 34774515 37092816 41214240 46366020 55639224 61821360 69549030 74185632 92732040 111278448 123642720 139098060 185464080 222556896 278196120 370928160 556392240 1112784480