Search a number
-
+
15105100240 = 245773244261
BaseRepresentation
bin11100001000101010…
…11000100111010000
31102222200220121010001
432010111120213100
5221413401201430
610534510415344
71043214143056
oct160425304720
942880817101
1015105100240
11645148741a
122b16801554
131569557149
14a341821d6
155d61753ca
hex3845589d0

15105100240 has 40 divisors (see below), whose sum is σ = 35164934568. Its totient is φ = 6034199040.

The previous prime is 15105100237. The next prime is 15105100249. The reversal of 15105100240 is 4200150151.

It can be written as a sum of positive squares in 4 ways, for example, as 2499200064 + 12605900176 = 49992^2 + 112276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15105100249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60291 + ... + 183970.

Almost surely, 215105100240 is an apocalyptic number.

15105100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15105100240 is an abundant number, since it is smaller than the sum of its proper divisors (20059834328).

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

15105100240 is a wasteful number, since it uses less digits than its factorization.

15105100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245047 (or 245041 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 15105100240 its reverse (4200150151), we get a palindrome (19305250391).

The spelling of 15105100240 in words is "fifteen billion, one hundred five million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 773 1546 3092 3865 6184 7730 12368 15460 30920 61840 244261 488522 977044 1221305 1954088 2442610 3908176 4885220 9770440 19540880 188813753 377627506 755255012 944068765 1510510024 1888137530 3021020048 3776275060 7552550120 15105100240