Search a number
-
+
4515135240 = 2335711488651
BaseRepresentation
bin1000011010001111…
…10111111100001000
3102122200000122011010
410031013313330020
533221333311430
62024011003520
7216614005410
oct41507677410
912580018133
104515135240
111a07748a30
12a601395a0
1356c575875
1430b929640
151b65cccb0
hex10d1f7f08

4515135240 has 128 divisors (see below), whose sum is σ = 16887813120. Its totient is φ = 938208000.

The previous prime is 4515135227. The next prime is 4515135253. The reversal of 4515135240 is 425315154.

It is an interprime number because it is at equal distance from previous prime (4515135227) and next prime (4515135253).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4515135198 and 4515135207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235086 + ... + 253565.

It is an arithmetic number, because the mean of its divisors is an integer number (131936040).

Almost surely, 24515135240 is an apocalyptic number.

4515135240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4515135240 is an abundant number, since it is smaller than the sum of its proper divisors (12372677880).

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

4515135240 is a wasteful number, since it uses less digits than its factorization.

4515135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488683 (or 488679 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 4515135240 is about 67194.7560453939. The cubic root of 4515135240 is about 1652.8124961843.

The spelling of 4515135240 in words is "four billion, five hundred fifteen million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 488651 977302 1465953 1954604 2443255 2931906 3420557 3909208 4886510 5375161 5863812 6841114 7329765 9773020 10261671 10750322 11727624 13682228 14659530 16125483 17102785 19546040 20523342 21500644 26875805 27364456 29319060 32250966 34205570 37626127 41046684 43001288 51308355 53751610 58638120 64501932 68411140 75252254 80627415 82093368 102616710 107503220 112878381 129003864 136822280 150504508 161254830 188130635 205233420 215006440 225756762 301009016 322509660 376261270 410466840 451513524 564391905 645019320 752522540 903027048 1128783810 1505045080 2257567620 4515135240