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5402700810 = 2345131730181
BaseRepresentation
bin1010000100000011…
…01010110000001010
3111221112010122020000
411002001222300022
542031042411220
62252034343430
7250612125213
oct50201526012
914845118200
105402700810
1123227580a1
12106942ab76
136814075b0
1439376a40a
152194a0390
hex14206ac0a

5402700810 has 160 divisors (see below), whose sum is σ = 16565571792. Its totient is φ = 1251624960.

The previous prime is 5402700791. The next prime is 5402700811. The reversal of 5402700810 is 180072045.

It can be written as a sum of positive squares in 8 ways, for example, as 1951960761 + 3450740049 = 44181^2 + 58743^2 .

It is a super-2 number, since 2×54027008102 = 58378352084749312200, which contains 22 as substring.

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 (5402700811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 163920 + ... + 194100.

Almost surely, 25402700810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5402700810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282785896).

5402700810 is an abundant number, since it is smaller than the sum of its proper divisors (11162870982).

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

5402700810 is a wasteful number, since it uses less digits than its factorization.

5402700810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30230 (or 30221 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5402700810 is about 73503.0666707179. The cubic root of 5402700810 is about 1754.7030836727.

Adding to 5402700810 its reverse (180072045), we get a palindrome (5582772855).

The spelling of 5402700810 in words is "five billion, four hundred two million, seven hundred thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 81 85 90 102 117 130 135 153 162 170 195 221 234 255 270 306 351 390 405 442 459 510 585 663 702 765 810 918 1053 1105 1170 1326 1377 1530 1755 1989 2106 2210 2295 2754 3315 3510 3978 4590 5265 5967 6630 6885 9945 10530 11934 13770 17901 19890 29835 30181 35802 59670 60362 89505 90543 150905 179010 181086 271629 301810 392353 452715 513077 543258 784706 814887 905430 1026154 1177059 1358145 1539231 1629774 1961765 2354118 2444661 2565385 2716290 3078462 3531177 3923530 4074435 4617693 4889322 5130770 5885295 6670001 7062354 7696155 8148870 9235386 10593531 11770590 12223305 13340002 13853079 15392310 17655885 20010003 21187062 23088465 24446610 27706158 31780593 33350005 35311770 40020006 41559237 46176930 52967655 60030009 63561186 66700010 69265395 83118474 100050015 105935310 120060018 138530790 158902965 180090027 200100030 207796185 300150045 317805930 360180054 415592370 540270081 600300090 900450135 1080540162 1800900270 2701350405 5402700810