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1102004064 = 25327717699
BaseRepresentation
bin100000110101111…
…0011111101100000
32211210121121101100
41001223303331200
54224103112224
6301203434400
736210610560
oct10153637540
92753547340
101102004064
11516063a67
12269085a00
13147402c15
14a6500da0
1566b2eac9
hex41af3f60

1102004064 has 144 divisors (see below), whose sum is σ = 3632428800. Its totient is φ = 310383360.

The previous prime is 1102004053. The next prime is 1102004069. The reversal of 1102004064 is 4604002011.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102004069) 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, 139287 + ... + 146985.

It is an arithmetic number, because the mean of its divisors is an integer number (25225200).

Almost surely, 21102004064 is an apocalyptic number.

1102004064 is a gapful number since it is divisible by the number (14) 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 1102004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816214400).

1102004064 is an abundant number, since it is smaller than the sum of its proper divisors (2530424736).

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

1102004064 is a wasteful number, since it uses less digits than its factorization.

1102004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1102004064 is about 33196.4465568229. The cubic root of 1102004064 is about 1032.9066307135.

Adding to 1102004064 its reverse (4604002011), we get a palindrome (5706006075).

The spelling of 1102004064 in words is "one billion, one hundred two million, four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 672 852 994 1008 1136 1278 1491 1704 1988 2016 2272 2556 2982 3408 3976 4473 5112 5964 6816 7699 7952 8946 10224 11928 15398 15904 17892 20448 23097 23856 30796 35784 46194 47712 53893 61592 69291 71568 92388 107786 123184 138582 143136 161679 184776 215572 246368 277164 323358 369552 431144 485037 546629 554328 646716 739104 862288 970074 1093258 1108656 1293432 1639887 1724576 1940148 2186516 2217312 2586864 3279774 3826403 3880296 4373032 4919661 5173728 6559548 7652806 7760592 8746064 9839322 11479209 13119096 15305612 15521184 17492128 19678644 22958418 26238192 30611224 34437627 39357288 45916836 52476384 61222448 68875254 78714576 91833672 122444896 137750508 157429152 183667344 275501016 367334688 551002032 1102004064