Search a number
-
+
15053091840 = 21036537109
BaseRepresentation
bin11100000010011101…
…11111010000000000
31102212002001022000000
432001032333100000
5221312042414330
610525412000000
71042013112063
oct160116772000
942762038000
1015053091840
116425094776
122b01300000
13155b847847
14a2b2c48da
155d1800560
hex3813bf400

15053091840 has 616 divisors, whose sum is σ = 56113264680. Its totient is φ = 3869835264.

The previous prime is 15053091769. The next prime is 15053091863. The reversal of 15053091840 is 4819035051.

It can be written as a sum of positive squares in 4 ways, for example, as 5521084416 + 9532007424 = 74304^2 + 97632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15053091795 and 15053091804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 138101706 + ... + 138101814.

Almost surely, 215053091840 is an apocalyptic number.

15053091840 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 15053091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28056632340).

15053091840 is an abundant number, since it is smaller than the sum of its proper divisors (41060172840).

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

15053091840 is an equidigital number, since it uses as much as digits as its factorization.

15053091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 15053091840 in words is "fifteen billion, fifty-three million, ninety-one thousand, eight hundred forty".