Search a number
-
+
5410024240 = 2451729229599
BaseRepresentation
bin1010000100111011…
…00110101100110000
3111222000220201002011
411002131212230300
542034431233430
62252455332304
7251031306265
oct50235465460
914860821064
105410024240
1123268aa315
12106b981094
13682a9ca9a
1439471526c
15219e4a22a
hex142766b30

5410024240 has 160 divisors (see below), whose sum is σ = 13860720000. Its totient is φ = 1954627584.

The previous prime is 5410024229. The next prime is 5410024247. The reversal of 5410024240 is 424200145.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5410024247) 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, 9031461 + ... + 9032059.

It is an arithmetic number, because the mean of its divisors is an integer number (86629500).

Almost surely, 25410024240 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 5410024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6930360000).

5410024240 is an abundant number, since it is smaller than the sum of its proper divisors (8450695760).

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

5410024240 is a wasteful number, since it uses less digits than its factorization.

5410024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 5410024240 is about 73552.8669733546. The cubic root of 5410024240 is about 1755.4955665259.

Adding to 5410024240 its reverse (424200145), we get a palindrome (5834224385).

The spelling of 5410024240 in words is "five billion, four hundred ten million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 229 232 272 290 340 458 464 493 580 599 680 916 986 1145 1160 1198 1360 1832 1972 2290 2320 2396 2465 2995 3664 3893 3944 4580 4792 4930 5990 6641 7786 7888 9160 9584 9860 10183 11980 13282 15572 17371 18320 19465 19720 20366 23960 26564 31144 33205 34742 38930 39440 40732 47920 50915 53128 62288 66410 69484 77860 81464 86855 101830 106256 112897 132820 137171 138968 155720 162928 173710 203660 225794 265640 274342 277936 295307 311440 347420 407320 451588 531280 548684 564485 590614 685855 694840 814640 903176 1097368 1128970 1181228 1371710 1389680 1476535 1806352 2194736 2257940 2331907 2362456 2743420 2953070 3977959 4515880 4663814 4724912 5486840 5906140 7955918 9031760 9327628 10973680 11659535 11812280 15911836 18655256 19889795 23319070 23624560 31823672 37310512 39779590 46638140 63647344 67625303 79559180 93276280 135250606 159118360 186552560 270501212 318236720 338126515 541002424 676253030 1082004848 1352506060 2705012120 5410024240