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13341000760 = 235479837219
BaseRepresentation
bin11000110110010111…
…11000010000111000
31021102202110001120021
430123023320100320
5204310244011020
610043451540224
7651413430643
oct143313702070
937382401507
1013341000760
11572671336a
122703a5a674
131347c269b9
14907b72a5a
1553135e1aa
hex31b2f8438

13341000760 has 64 divisors (see below), whose sum is σ = 30691353600. Its totient is φ = 5216823936.

The previous prime is 13341000731. The next prime is 13341000781. The reversal of 13341000760 is 6700014331.

It is a congruent number.

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, 1844431 + ... + 1851649.

It is an arithmetic number, because the mean of its divisors is an integer number (479552400).

Almost surely, 213341000760 is an apocalyptic number.

13341000760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13341000760 is the 57752-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341000760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15345676800).

13341000760 is an abundant number, since it is smaller than the sum of its proper divisors (17350352840).

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

13341000760 is a wasteful number, since it uses less digits than its factorization.

13341000760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The spelling of 13341000760 in words is "thirteen billion, three hundred forty-one million, seven hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 983 1880 1966 3932 4915 7219 7864 9830 14438 19660 28876 36095 39320 46201 57752 72190 92402 144380 184804 231005 288760 339293 369608 462010 678586 924020 1357172 1696465 1848040 2714344 3392930 6785860 7096277 13571720 14192554 28385108 35481385 56770216 70962770 141925540 283851080 333525019 667050038 1334100076 1667625095 2668200152 3335250190 6670500380 13341000760