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1000109484 = 2233115771459
BaseRepresentation
bin111011100111000…
…111010110101100
32120200212211022000
4323213013112230
54022012000414
6243123452300
733532535043
oct7347072654
92520784260
101000109484
11473599070
1223ab27090
1312c277c7a
1496b7955a
155cc03b09
hex3b9c75ac

1000109484 has 96 divisors (see below), whose sum is σ = 2835436800. Its totient is φ = 302330880.

The previous prime is 1000109447. The next prime is 1000109489. The reversal of 1000109484 is 4849010001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1000109489) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684747 + ... + 686205.

It is an arithmetic number, because the mean of its divisors is an integer number (29535800).

Almost surely, 21000109484 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 1000109484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417718400).

1000109484 is an abundant number, since it is smaller than the sum of its proper divisors (1835327316).

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

1000109484 is a wasteful number, since it uses less digits than its factorization.

1000109484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1000109484 is about 31624.5076483413. The cubic root of 1000109484 is about 1000.0364933349.

Adding to 1000109484 its reverse (4849010001), we get a palindrome (5849119485).

The spelling of 1000109484 in words is "one billion, one hundred nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 577 594 1154 1188 1459 1731 2308 2918 3462 4377 5193 5836 6347 6924 8754 10386 12694 13131 15579 16049 17508 19041 20772 25388 26262 31158 32098 38082 39393 48147 52524 57123 62316 64196 76164 78786 96294 114246 144441 157572 171369 192588 228492 288882 342738 433323 577764 685476 841843 866646 1683686 1733292 2525529 3367372 5051058 7576587 9260273 10102116 15153174 18520546 22729761 27780819 30306348 37041092 45459522 55561638 83342457 90919044 111123276 166684914 250027371 333369828 500054742 1000109484