Search a number
-
+
5412771360 = 2532513727437
BaseRepresentation
bin1010000101010000…
…00101011000100000
3111222020002021102100
411002220011120200
542041132140420
62253034250400
7251063540343
oct50250053040
914866067370
105412771360
112328406267
121070886a00
136835222b9
14394c2c45a
1521a2de190
hex142a05620

5412771360 has 144 divisors (see below), whose sum is σ = 18606585816. Its totient is φ = 1432817664.

The previous prime is 5412771359. The next prime is 5412771361. The reversal of 5412771360 is 631772145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5412771359) and next prime (5412771361).

It can be written as a sum of positive squares in 4 ways, for example, as 4575710736 + 837060624 = 67644^2 + 28932^2 .

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 not an unprimeable number, because it can be changed into a prime (5412771361) 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, 183562 + ... + 210998.

Almost surely, 25412771360 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 5412771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303292908).

5412771360 is an abundant number, since it is smaller than the sum of its proper divisors (13193814456).

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

5412771360 is a wasteful number, since it uses less digits than its factorization.

5412771360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27595 (or 27584 counting only the distinct ones).

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

The square root of 5412771360 is about 73571.5390623303. The cubic root of 5412771360 is about 1755.7926533611.

The spelling of 5412771360 in words is "five billion, four hundred twelve million, seven hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 137 144 160 180 240 274 288 360 411 480 548 685 720 822 1096 1233 1370 1440 1644 2055 2192 2466 2740 3288 4110 4384 4932 5480 6165 6576 8220 9864 10960 12330 13152 16440 19728 21920 24660 27437 32880 39456 49320 54874 65760 82311 98640 109748 137185 164622 197280 219496 246933 274370 329244 411555 438992 493866 548740 658488 823110 877984 987732 1097480 1234665 1316976 1646220 1975464 2194960 2469330 2633952 3292440 3758869 3950928 4389920 4938660 6584880 7517738 7901856 9877320 11276607 13169760 15035476 18794345 19754640 22553214 30070952 33829821 37588690 39509280 45106428 56383035 60141904 67659642 75177380 90212856 112766070 120283808 135319284 150354760 169149105 180425712 225532140 270638568 300709520 338298210 360851424 451064280 541277136 601419040 676596420 902128560 1082554272 1353192840 1804257120 2706385680 5412771360