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15003134000 = 245353141539
BaseRepresentation
bin11011111100100000…
…11010100000110000
31102201121001011201122
431332100122200300
5221211300242000
610520425121412
71040535351311
oct157620324060
942647034648
1015003134000
1163a99726a8
122aa8629268
1315513a56aa
14a247dc608
155cc233085
hex37e41a830

15003134000 has 80 divisors (see below), whose sum is σ = 36962321760. Its totient is φ = 5887980800.

The previous prime is 15003133993. The next prime is 15003134009. The reversal of 15003134000 is 43130051.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15003134000.

It is not an unprimeable number, because it can be changed into a prime (15003134009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35231 + ... + 176769.

It is an arithmetic number, because the mean of its divisors is an integer number (462029022).

Almost surely, 215003134000 is an apocalyptic number.

15003134000 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 15003134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18481160880).

15003134000 is an abundant number, since it is smaller than the sum of its proper divisors (21959187760).

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

15003134000 is a wasteful number, since it uses less digits than its factorization.

15003134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141615 (or 141599 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

Adding to 15003134000 its reverse (43130051), we get a palindrome (15046264051).

The spelling of 15003134000 in words is "fifteen billion, three million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 4240 5300 6625 10600 13250 21200 26500 53000 106000 141539 283078 566156 707695 1132312 1415390 2264624 2830780 3538475 5661560 7076950 7501567 11323120 14153900 15003134 17692375 28307800 30006268 35384750 37507835 56615600 60012536 70769500 75015670 120025072 141539000 150031340 187539175 283078000 300062680 375078350 600125360 750156700 937695875 1500313400 1875391750 3000626800 3750783500 7501567000 15003134000