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15130435120 = 245617143669
BaseRepresentation
bin11100001011101100…
…00001111000110000
31110001110120202000221
432011312001320300
5221441342410440
610541213422424
71043642401513
oct160566017060
943043522027
1015130435120
116464810939
122b2319aa14
1315718878b8
14a37698d7a
155d84cbd4a
hex385d81e30

15130435120 has 80 divisors (see below), whose sum is σ = 36259375680. Its totient is φ = 5868979200.

The previous prime is 15130435093. The next prime is 15130435153. The reversal of 15130435120 is 2153403151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324646 + ... + 368314.

It is an arithmetic number, because the mean of its divisors is an integer number (453242196).

Almost surely, 215130435120 is an apocalyptic number.

15130435120 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 15130435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18129687840).

15130435120 is an abundant number, since it is smaller than the sum of its proper divisors (21128940560).

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

15130435120 is a wasteful number, since it uses less digits than its factorization.

15130435120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43814 (or 43808 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 15130435120 its reverse (2153403151), we get a palindrome (17283838271).

The spelling of 15130435120 in words is "fifteen billion, one hundred thirty million, four hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 71 80 122 142 244 284 305 355 488 568 610 710 976 1136 1220 1420 2440 2840 4331 4880 5680 8662 17324 21655 34648 43310 43669 69296 86620 87338 173240 174676 218345 346480 349352 436690 698704 873380 1746760 2663809 3100499 3493520 5327618 6200998 10655236 12401996 13319045 15502495 21310472 24803992 26638090 31004990 42620944 49607984 53276180 62009980 106552360 124019960 189130439 213104720 248039920 378260878 756521756 945652195 1513043512 1891304390 3026087024 3782608780 7565217560 15130435120