Search a number
-
+
15125320240 = 2451759251751
BaseRepresentation
bin11100001011000101…
…00001001000110000
31110001002221212201221
432011202201020300
5221434040221430
610540512034424
71043551046362
oct160542411060
943032855657
1015125320240
116461937a68
122b21532a14
1315707b6744
14a36b26d32
155d7d1b57a
hex3858a1230

15125320240 has 160 divisors (see below), whose sum is σ = 38067563520. Its totient is φ = 5568000000.

The previous prime is 15125320201. The next prime is 15125320241. The reversal of 15125320240 is 4202352151.

It is not an unprimeable number, because it can be changed into a prime (15125320241) 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, 20139865 + ... + 20140615.

It is an arithmetic number, because the mean of its divisors is an integer number (237922272).

Almost surely, 215125320240 is an apocalyptic number.

15125320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15125320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19033781760).

15125320240 is an abundant number, since it is smaller than the sum of its proper divisors (22942243280).

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

15125320240 is a wasteful number, since it uses less digits than its factorization.

15125320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 15125320240 its reverse (4202352151), we get a palindrome (19327672391).

The spelling of 15125320240 in words is "fifteen billion, one hundred twenty-five million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 118 136 170 236 251 272 295 340 472 502 590 680 751 944 1003 1004 1180 1255 1360 1502 2006 2008 2360 2510 3004 3755 4012 4016 4267 4720 5015 5020 6008 7510 8024 8534 10030 10040 12016 12767 14809 15020 16048 17068 20060 20080 21335 25534 29618 30040 34136 40120 42670 44309 51068 59236 60080 63835 68272 74045 80240 85340 88618 102136 118472 127670 148090 170680 177236 188501 204272 221545 236944 251753 255340 296180 341360 354472 377002 443090 503506 510680 592360 708944 753253 754004 886180 942505 1007012 1021360 1184720 1258765 1506506 1508008 1772360 1885010 2014024 2517530 3013012 3016016 3204517 3544720 3766265 3770020 4028048 5035060 6026024 6409034 7532530 7540040 10070120 11121559 12052048 12818068 15065060 15080080 16022585 20140240 22243118 25636136 30130120 32045170 44486236 51272272 55607795 60260240 64090340 88972472 111215590 128180680 177944944 189066503 222431180 256361360 378133006 444862360 756266012 889724720 945332515 1512532024 1890665030 3025064048 3781330060 7562660120 15125320240