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15134840 = 2357191283
BaseRepresentation
bin111001101111…
…000001111000
31001110221002122
4321233001320
512333303330
61300220412
7242433620
oct71570170
931427078
1015134840
1185a8036
12509a708
13319bb36
14201d880
1514de5e5
hexe6f078

15134840 has 64 divisors (see below), whose sum is σ = 39260160. Its totient is φ = 5143680.

The previous prime is 15134827. The next prime is 15134843. The reversal of 15134840 is 4843151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15134843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53339 + ... + 53621.

It is an arithmetic number, because the mean of its divisors is an integer number (613440).

Almost surely, 215134840 is an apocalyptic number.

15134840 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 15134840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19630080).

15134840 is an abundant number, since it is smaller than the sum of its proper divisors (24125320).

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

15134840 is a wasteful number, since it uses less digits than its factorization.

15134840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 15134840 is about 3890.3521691487. The cubic root of 15134840 is about 247.3579908399.

Adding to 15134840 its reverse (4843151), we get a palindrome (19977991).

The spelling of 15134840 in words is "fifteen million, one hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 283 382 566 764 955 1132 1337 1415 1528 1910 1981 2264 2674 2830 3820 3962 5348 5660 6685 7640 7924 9905 10696 11320 13370 15848 19810 26740 39620 53480 54053 79240 108106 216212 270265 378371 432424 540530 756742 1081060 1513484 1891855 2162120 3026968 3783710 7567420 15134840