Search a number
-
+
5142021360 = 243578273701
BaseRepresentation
bin1001100100111110…
…10000010011110000
3111021100121202020120
410302133100103300
541012324140420
62210123210240
7241265313630
oct46237202360
914240552216
105142021360
1121a959a833
12bb6076980
1363c3c5cb8
1436acb06c0
1520165bd40
hex1327d04f0

5142021360 has 160 divisors (see below), whose sum is σ = 18244403712. Its totient is φ = 1173580800.

The previous prime is 5142021359. The next prime is 5142021361. The reversal of 5142021360 is 631202415.

It is an interprime number because it is at equal distance from previous prime (5142021359) and next prime (5142021361).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5142021360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142021361) 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, 1387510 + ... + 1391210.

Almost surely, 25142021360 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 5142021360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122201856).

5142021360 is an abundant number, since it is smaller than the sum of its proper divisors (13102382352).

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

5142021360 is a wasteful number, since it uses less digits than its factorization.

5142021360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4551 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5142021360 is about 71707.8891057323. The cubic root of 5142021360 is about 1726.0152376998.

Adding to 5142021360 its reverse (631202415), we get a palindrome (5773223775).

The spelling of 5142021360 in words is "five billion, one hundred forty-two million, twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 827 840 1654 1680 2481 3308 3701 4135 4962 5789 6616 7402 8270 9924 11103 11578 12405 13232 14804 16540 17367 18505 19848 22206 23156 24810 25907 28945 29608 33080 34734 37010 39696 44412 46312 49620 51814 55515 57890 59216 66160 69468 74020 77721 86835 88824 92624 99240 103628 111030 115780 129535 138936 148040 155442 173670 177648 198480 207256 222060 231560 259070 277872 296080 310884 347340 388605 414512 444120 463120 518140 621768 694680 777210 888240 1036280 1243536 1389360 1554420 2072560 3060727 3108840 6121454 6217680 9182181 12242908 15303635 18364362 21425089 24485816 30607270 36728724 42850178 45910905 48971632 61214540 64275267 73457448 85700356 91821810 107125445 122429080 128550534 146914896 171400712 183643620 214250890 244858160 257101068 321376335 342801424 367287240 428501780 514202136 642752670 734574480 857003560 1028404272 1285505340 1714007120 2571010680 5142021360