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1107689472 = 21733313
BaseRepresentation
bin100001000000110…
…0000000000000000
32212012022110022000
41002001200000000
54232032030342
6301525344000
736310130241
oct10201400000
92765273260
101107689472
1151929754a
1226ab68000
13148643976
14a7180cc8
15673a444c
hex42060000

1107689472 has 144 divisors (see below), whose sum is σ = 3292516080. Its totient is φ = 368050176.

The previous prime is 1107689459. The next prime is 1107689477. The reversal of 1107689472 is 2749867011.

It is a happy number.

1107689472 is a `hidden beast` number, since 110 + 7 + 68 + 9 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107689477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3538788 + ... + 3539100.

It is an arithmetic number, because the mean of its divisors is an integer number (22864695).

Almost surely, 21107689472 is an apocalyptic number.

1107689472 is a gapful number since it is divisible by the number (12) 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 1107689472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646258040).

1107689472 is an abundant number, since it is smaller than the sum of its proper divisors (2184826608).

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

1107689472 is an frugal number, since it uses more digits than its factorization.

1107689472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1107689472 is about 33281.9691725114. The cubic root of 1107689472 is about 1034.6798926050.

The spelling of 1107689472 in words is "one billion, one hundred seven million, six hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 313 384 432 512 576 626 768 864 939 1024 1152 1252 1536 1728 1878 2048 2304 2504 2817 3072 3456 3756 4096 4608 5008 5634 6144 6912 7512 8192 8451 9216 10016 11268 12288 13824 15024 16384 16902 18432 20032 22536 24576 27648 30048 32768 33804 36864 40064 45072 49152 55296 60096 65536 67608 73728 80128 90144 98304 110592 120192 131072 135216 147456 160256 180288 196608 221184 240384 270432 294912 320512 360576 393216 442368 480768 540864 589824 641024 721152 884736 961536 1081728 1179648 1282048 1442304 1769472 1923072 2163456 2564096 2884608 3538944 3846144 4326912 5128192 5769216 7692288 8653824 10256384 11538432 15384576 17307648 20512768 23076864 30769152 34615296 41025536 46153728 61538304 69230592 92307456 123076608 138461184 184614912 276922368 369229824 553844736 1107689472