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2704095072 = 253271778901
BaseRepresentation
bin1010000100101101…
…0011011101100000
320222110020021002100
42201023103131200
521014222020242
61124154050400
7124003300050
oct24113233540
96873207070
102704095072
111168433718
12635719a00
133412bb673
141b91bb560
1510c5e354c
hexa12d3760

2704095072 has 144 divisors (see below), whose sum is σ = 9305386272. Its totient is φ = 727142400.

The previous prime is 2704095071. The next prime is 2704095091. The reversal of 2704095072 is 2705904072.

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 not an unprimeable number, because it can be changed into a prime (2704095071) 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, 5179 + ... + 73722.

It is an arithmetic number, because the mean of its divisors is an integer number (64620738).

Almost surely, 22704095072 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 2704095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652693136).

2704095072 is an abundant number, since it is smaller than the sum of its proper divisors (6601291200).

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

2704095072 is a wasteful number, since it uses less digits than its factorization.

2704095072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78941 (or 78930 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2704095072 is about 52000.9141458109. The cubic root of 2704095072 is about 1393.1802811568.

The spelling of 2704095072 in words is "two billion, seven hundred four million, ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 78901 157802 236703 315604 473406 552307 631208 710109 946812 1104614 1262416 1341317 1420218 1656921 1893624 2209228 2524832 2682634 2840436 3313842 3787248 4023951 4418456 4970763 5365268 5680872 6627684 7574496 8047902 8836912 9389219 9941526 10730536 11361744 12071853 13255368 16095804 17673824 18778438 19883052 21461072 22723488 24143706 26510736 28167657 32191608 37556876 39766104 42922144 48287412 53021472 56335314 64383216 75113752 79532208 84502971 96574824 112670628 128766432 150227504 159064416 169005942 193149648 225341256 300455008 338011884 386299296 450682512 676023768 901365024 1352047536 2704095072