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15005140540 = 2251358798317
BaseRepresentation
bin11011111100110000…
…00100011000111100
31102201201211010011221
431332120010120330
5221212303444130
610520540123124
71040561406265
oct157630043074
942651733157
1015005140540
1164000131a5
122aa92364a4
131551928ab0
14a24ba196c
155cc4cc87a
hex37e60463c

15005140540 has 48 divisors (see below), whose sum is σ = 33992858592. Its totient is φ = 5530864896.

The previous prime is 15005140487. The next prime is 15005140597. The reversal of 15005140540 is 4504150051.

It is a happy number.

15005140540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103462 + ... + 201778.

It is an arithmetic number, because the mean of its divisors is an integer number (708184554).

Almost surely, 215005140540 is an apocalyptic number.

15005140540 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 15005140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996429296).

15005140540 is an abundant number, since it is smaller than the sum of its proper divisors (18987718052).

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

15005140540 is a wasteful number, since it uses less digits than its factorization.

15005140540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98926 (or 98924 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 15005140540 its reverse (4504150051), we get a palindrome (19509290591).

The spelling of 15005140540 in words is "fifteen billion, five million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 587 1174 2348 2935 5870 7631 11740 15262 30524 38155 76310 98317 152620 196634 393268 491585 983170 1278121 1966340 2556242 5112484 6390605 12781210 25562420 57712079 115424158 230848316 288560395 577120790 750257027 1154241580 1500514054 3001028108 3751285135 7502570270 15005140540